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Finding the Fourth Proportional to 2,489.30, 3,737.68 and 2,156.78

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Solution

The fourth proportional to 2,489.30, 3,737.68 and 2,156.78 is: 3,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.30 : 3,737.68 = 2,156.78 : x
  2. Step 2: Convert to fraction form
    2,489.30/3,737.68 = 2,156.78/x
  3. Step 3: Cross multiply
    2,489.30x = 3,737.68 × 2,156.78
  4. Step 4: Simplify right side
    2,489.30x = 8,061,336.40
  5. Step 5: Solve for x
    x = 8,061,336.40/2,489.30
  6. Step 6: Final answer
    x = 3,238.40

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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.