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Finding the Fourth Proportional to 1,500.92, 2,251.40 and 634.60

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Solution

The fourth proportional to 1,500.92, 2,251.40 and 634.60 is: 951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.92 : 2,251.40 = 634.60 : x
  2. Step 2: Convert to fraction form
    1,500.92/2,251.40 = 634.60/x
  3. Step 3: Cross multiply
    1,500.92x = 2,251.40 × 634.60
  4. Step 4: Simplify right side
    1,500.92x = 1,428,738.44
  5. Step 5: Solve for x
    x = 1,428,738.44/1,500.92
  6. Step 6: Final answer
    x = 951.91

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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.