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Finding the Fourth Proportional to 2,252.92, 3,377.10 and 1,154.92

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Solution

The fourth proportional to 2,252.92, 3,377.10 and 1,154.92 is: 1,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.92 : 3,377.10 = 1,154.92 : x
  2. Step 2: Convert to fraction form
    2,252.92/3,377.10 = 1,154.92/x
  3. Step 3: Cross multiply
    2,252.92x = 3,377.10 × 1,154.92
  4. Step 4: Simplify right side
    2,252.92x = 3,900,280.33
  5. Step 5: Solve for x
    x = 3,900,280.33/2,252.92
  6. Step 6: Final answer
    x = 1,731.21

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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.