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Finding the Fourth Proportional to 2,491.47, 3,737.72 and 736.52

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Solution

The fourth proportional to 2,491.47, 3,737.72 and 736.52 is: 1,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.47 : 3,737.72 = 736.52 : x
  2. Step 2: Convert to fraction form
    2,491.47/3,737.72 = 736.52/x
  3. Step 3: Cross multiply
    2,491.47x = 3,737.72 × 736.52
  4. Step 4: Simplify right side
    2,491.47x = 2,752,883.16
  5. Step 5: Solve for x
    x = 2,752,883.16/2,491.47
  6. Step 6: Final answer
    x = 1,104.92

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