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Finding the Fourth Proportional to 3,198.68, 4,414.87 and 2,019.52

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Solution

The fourth proportional to 3,198.68, 4,414.87 and 2,019.52 is: 2,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.68 : 4,414.87 = 2,019.52 : x
  2. Step 2: Convert to fraction form
    3,198.68/4,414.87 = 2,019.52/x
  3. Step 3: Cross multiply
    3,198.68x = 4,414.87 × 2,019.52
  4. Step 4: Simplify right side
    3,198.68x = 8,915,918.26
  5. Step 5: Solve for x
    x = 8,915,918.26/3,198.68
  6. Step 6: Final answer
    x = 2,787.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.