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Finding the Fourth Proportional to 3,257.27, 4,886.49 and 1,609.73

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Solution

The fourth proportional to 3,257.27, 4,886.49 and 1,609.73 is: 2,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.27 : 4,886.49 = 1,609.73 : x
  2. Step 2: Convert to fraction form
    3,257.27/4,886.49 = 1,609.73/x
  3. Step 3: Cross multiply
    3,257.27x = 4,886.49 × 1,609.73
  4. Step 4: Simplify right side
    3,257.27x = 7,865,929.55
  5. Step 5: Solve for x
    x = 7,865,929.55/3,257.27
  6. Step 6: Final answer
    x = 2,414.88

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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.