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Finding the Fourth Proportional to 2,342.91, 3,517.11 and 1,646.73

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Solution

The fourth proportional to 2,342.91, 3,517.11 and 1,646.73 is: 2,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.91 : 3,517.11 = 1,646.73 : x
  2. Step 2: Convert to fraction form
    2,342.91/3,517.11 = 1,646.73/x
  3. Step 3: Cross multiply
    2,342.91x = 3,517.11 × 1,646.73
  4. Step 4: Simplify right side
    2,342.91x = 5,791,730.55
  5. Step 5: Solve for x
    x = 5,791,730.55/2,342.91
  6. Step 6: Final answer
    x = 2,472.02

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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.