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Finding the Fourth Proportional to 2,234.35, 3,352.25 and 1,609.13

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Solution

The fourth proportional to 2,234.35, 3,352.25 and 1,609.13 is: 2,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.35 : 3,352.25 = 1,609.13 : x
  2. Step 2: Convert to fraction form
    2,234.35/3,352.25 = 1,609.13/x
  3. Step 3: Cross multiply
    2,234.35x = 3,352.25 × 1,609.13
  4. Step 4: Simplify right side
    2,234.35x = 5,394,209.39
  5. Step 5: Solve for x
    x = 5,394,209.39/2,234.35
  6. Step 6: Final answer
    x = 2,414.22

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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.