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Finding the Fourth Proportional to 2,732.38, 3,770.72 and 1,553.47

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Solution

The fourth proportional to 2,732.38, 3,770.72 and 1,553.47 is: 2,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.38 : 3,770.72 = 1,553.47 : x
  2. Step 2: Convert to fraction form
    2,732.38/3,770.72 = 1,553.47/x
  3. Step 3: Cross multiply
    2,732.38x = 3,770.72 × 1,553.47
  4. Step 4: Simplify right side
    2,732.38x = 5,857,700.40
  5. Step 5: Solve for x
    x = 5,857,700.40/2,732.38
  6. Step 6: Final answer
    x = 2,143.81

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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.