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Finding the Fourth Proportional to 2,569.92, 3,861.22 and 1,645.88

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Solution

The fourth proportional to 2,569.92, 3,861.22 and 1,645.88 is: 2,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.92 : 3,861.22 = 1,645.88 : x
  2. Step 2: Convert to fraction form
    2,569.92/3,861.22 = 1,645.88/x
  3. Step 3: Cross multiply
    2,569.92x = 3,861.22 × 1,645.88
  4. Step 4: Simplify right side
    2,569.92x = 6,355,104.77
  5. Step 5: Solve for x
    x = 6,355,104.77/2,569.92
  6. Step 6: Final answer
    x = 2,472.88

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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.