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Finding the Fourth Proportional to 2,234.78, 3,352.91 and 1,609.57

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Solution

The fourth proportional to 2,234.78, 3,352.91 and 1,609.57 is: 2,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.78 : 3,352.91 = 1,609.57 : x
  2. Step 2: Convert to fraction form
    2,234.78/3,352.91 = 1,609.57/x
  3. Step 3: Cross multiply
    2,234.78x = 3,352.91 × 1,609.57
  4. Step 4: Simplify right side
    2,234.78x = 5,396,743.35
  5. Step 5: Solve for x
    x = 5,396,743.35/2,234.78
  6. Step 6: Final answer
    x = 2,414.89

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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.