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Finding the Fourth Proportional to 3,198.74, 4,414.34 and 1,763.15

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Solution

The fourth proportional to 3,198.74, 4,414.34 and 1,763.15 is: 2,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.74 : 4,414.34 = 1,763.15 : x
  2. Step 2: Convert to fraction form
    3,198.74/4,414.34 = 1,763.15/x
  3. Step 3: Cross multiply
    3,198.74x = 4,414.34 × 1,763.15
  4. Step 4: Simplify right side
    3,198.74x = 7,783,143.57
  5. Step 5: Solve for x
    x = 7,783,143.57/3,198.74
  6. Step 6: Final answer
    x = 2,433.19

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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.