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Finding the Fourth Proportional to 3,198.92, 4,414.46 and 1,872.74

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Solution

The fourth proportional to 3,198.92, 4,414.46 and 1,872.74 is: 2,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.92 : 4,414.46 = 1,872.74 : x
  2. Step 2: Convert to fraction form
    3,198.92/4,414.46 = 1,872.74/x
  3. Step 3: Cross multiply
    3,198.92x = 4,414.46 × 1,872.74
  4. Step 4: Simplify right side
    3,198.92x = 8,267,137.49
  5. Step 5: Solve for x
    x = 8,267,137.49/3,198.92
  6. Step 6: Final answer
    x = 2,584.36

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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.