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Finding the Fourth Proportional to 5,122.92, 7,684.29 and 1,660.17

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Solution

The fourth proportional to 5,122.92, 7,684.29 and 1,660.17 is: 2,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.92 : 7,684.29 = 1,660.17 : x
  2. Step 2: Convert to fraction form
    5,122.92/7,684.29 = 1,660.17/x
  3. Step 3: Cross multiply
    5,122.92x = 7,684.29 × 1,660.17
  4. Step 4: Simplify right side
    5,122.92x = 12,757,227.73
  5. Step 5: Solve for x
    x = 12,757,227.73/5,122.92
  6. Step 6: Final answer
    x = 2,490.23

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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.