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Finding the Fourth Proportional to 1,537.38, 2,306.17 and 715.53

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Solution

The fourth proportional to 1,537.38, 2,306.17 and 715.53 is: 1,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.38 : 2,306.17 = 715.53 : x
  2. Step 2: Convert to fraction form
    1,537.38/2,306.17 = 715.53/x
  3. Step 3: Cross multiply
    1,537.38x = 2,306.17 × 715.53
  4. Step 4: Simplify right side
    1,537.38x = 1,650,143.36
  5. Step 5: Solve for x
    x = 1,650,143.36/1,537.38
  6. Step 6: Final answer
    x = 1,073.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.