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Finding the Fourth Proportional to 2,229.73, 3,337.66 and 1,645.39

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Solution

The fourth proportional to 2,229.73, 3,337.66 and 1,645.39 is: 2,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.73 : 3,337.66 = 1,645.39 : x
  2. Step 2: Convert to fraction form
    2,229.73/3,337.66 = 1,645.39/x
  3. Step 3: Cross multiply
    2,229.73x = 3,337.66 × 1,645.39
  4. Step 4: Simplify right side
    2,229.73x = 5,491,739.97
  5. Step 5: Solve for x
    x = 5,491,739.97/2,229.73
  6. Step 6: Final answer
    x = 2,462.96

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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.