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Finding the Fourth Proportional to 1,432.46, 2,147.38 and 737.57

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Solution

The fourth proportional to 1,432.46, 2,147.38 and 737.57 is: 1,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.46 : 2,147.38 = 737.57 : x
  2. Step 2: Convert to fraction form
    1,432.46/2,147.38 = 737.57/x
  3. Step 3: Cross multiply
    1,432.46x = 2,147.38 × 737.57
  4. Step 4: Simplify right side
    1,432.46x = 1,583,843.07
  5. Step 5: Solve for x
    x = 1,583,843.07/1,432.46
  6. Step 6: Final answer
    x = 1,105.68

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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.