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Finding the Fourth Proportional to 3,198.65, 4,414.16 and 1,762.92

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Solution

The fourth proportional to 3,198.65, 4,414.16 and 1,762.92 is: 2,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.65 : 4,414.16 = 1,762.92 : x
  2. Step 2: Convert to fraction form
    3,198.65/4,414.16 = 1,762.92/x
  3. Step 3: Cross multiply
    3,198.65x = 4,414.16 × 1,762.92
  4. Step 4: Simplify right side
    3,198.65x = 7,781,815.35
  5. Step 5: Solve for x
    x = 7,781,815.35/3,198.65
  6. Step 6: Final answer
    x = 2,432.85

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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.