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Finding the Fourth Proportional to 2,691.52, 4,028.96 and 2,297.92

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Solution

The fourth proportional to 2,691.52, 4,028.96 and 2,297.92 is: 3,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.52 : 4,028.96 = 2,297.92 : x
  2. Step 2: Convert to fraction form
    2,691.52/4,028.96 = 2,297.92/x
  3. Step 3: Cross multiply
    2,691.52x = 4,028.96 × 2,297.92
  4. Step 4: Simplify right side
    2,691.52x = 9,258,227.76
  5. Step 5: Solve for x
    x = 9,258,227.76/2,691.52
  6. Step 6: Final answer
    x = 3,439.78

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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.