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Finding the Fourth Proportional to 2,692.34, 3,715.42 and 1,497.30

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Solution

The fourth proportional to 2,692.34, 3,715.42 and 1,497.30 is: 2,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.34 : 3,715.42 = 1,497.30 : x
  2. Step 2: Convert to fraction form
    2,692.34/3,715.42 = 1,497.30/x
  3. Step 3: Cross multiply
    2,692.34x = 3,715.42 × 1,497.30
  4. Step 4: Simplify right side
    2,692.34x = 5,563,098.37
  5. Step 5: Solve for x
    x = 5,563,098.37/2,692.34
  6. Step 6: Final answer
    x = 2,066.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.