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Finding the Fourth Proportional to 2,932.52, 4,397.76 and 851.96

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Solution

The fourth proportional to 2,932.52, 4,397.76 and 851.96 is: 1,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.52 : 4,397.76 = 851.96 : x
  2. Step 2: Convert to fraction form
    2,932.52/4,397.76 = 851.96/x
  3. Step 3: Cross multiply
    2,932.52x = 4,397.76 × 851.96
  4. Step 4: Simplify right side
    2,932.52x = 3,746,715.61
  5. Step 5: Solve for x
    x = 3,746,715.61/2,932.52
  6. Step 6: Final answer
    x = 1,277.64

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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.