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Finding the Fourth Proportional to 3,452.92, 5,188.68 and 1,810.66

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Solution

The fourth proportional to 3,452.92, 5,188.68 and 1,810.66 is: 2,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.92 : 5,188.68 = 1,810.66 : x
  2. Step 2: Convert to fraction form
    3,452.92/5,188.68 = 1,810.66/x
  3. Step 3: Cross multiply
    3,452.92x = 5,188.68 × 1,810.66
  4. Step 4: Simplify right side
    3,452.92x = 9,394,935.33
  5. Step 5: Solve for x
    x = 9,394,935.33/3,452.92
  6. Step 6: Final answer
    x = 2,720.87

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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.