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Find the fourth proportional to 2/3, 3/7, 4.?
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Find the fourth proportional to 2/3, 3/7, 4.?
Given:
Three numbers are given: 2/3, 3/7, and 4.
To Find:
The fourth proportional to these numbers.
Solution:
Step 1: Express the given numbers in the form of fractions:
The given numbers are already in fraction form.
2/3, 3/7, and 4.
Step 2: Find the common ratio:
The common ratio is the ratio between any two consecutive terms. To find the common ratio, we divide any term by its preceding term.
Common ratio between 2/3 and 3/7:
(3/7) / (2/3) = (3/7) * (3/2) = 9/14
Common ratio between 3/7 and 4:
4 / (3/7) = 4 * (7/3) = 28/3
Step 3: Find the fourth proportional:
The fourth proportional can be found by multiplying the third term by the common ratio.
Fourth proportional to 2/3, 3/7, and 4:
4 * (28/3) = 112/3
Therefore, the fourth proportional to 2/3, 3/7, and 4 is 112/3.
Conclusion:
The fourth proportional to the given numbers 2/3, 3/7, and 4 is 112/3.
Three numbers are given: 2/3, 3/7, and 4.
To Find:
The fourth proportional to these numbers.
Solution:
Step 1: Express the given numbers in the form of fractions:
The given numbers are already in fraction form.
2/3, 3/7, and 4.
Step 2: Find the common ratio:
The common ratio is the ratio between any two consecutive terms. To find the common ratio, we divide any term by its preceding term.
Common ratio between 2/3 and 3/7:
(3/7) / (2/3) = (3/7) * (3/2) = 9/14
Common ratio between 3/7 and 4:
4 / (3/7) = 4 * (7/3) = 28/3
Step 3: Find the fourth proportional:
The fourth proportional can be found by multiplying the third term by the common ratio.
Fourth proportional to 2/3, 3/7, and 4:
4 * (28/3) = 112/3
Therefore, the fourth proportional to 2/3, 3/7, and 4 is 112/3.
Conclusion:
The fourth proportional to the given numbers 2/3, 3/7, and 4 is 112/3.
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Find the fourth proportional to 2/3, 3/7, 4.?
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Find the fourth proportional to 2/3, 3/7, 4.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the fourth proportional to 2/3, 3/7, 4.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the fourth proportional to 2/3, 3/7, 4.?.
Find the fourth proportional to 2/3, 3/7, 4.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the fourth proportional to 2/3, 3/7, 4.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the fourth proportional to 2/3, 3/7, 4.?.
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