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Finding the Fourth Proportional to 3,144.97, 4,340.10 and 1,747.72

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Solution

The fourth proportional to 3,144.97, 4,340.10 and 1,747.72 is: 2,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.97 : 4,340.10 = 1,747.72 : x
  2. Step 2: Convert to fraction form
    3,144.97/4,340.10 = 1,747.72/x
  3. Step 3: Cross multiply
    3,144.97x = 4,340.10 × 1,747.72
  4. Step 4: Simplify right side
    3,144.97x = 7,585,279.57
  5. Step 5: Solve for x
    x = 7,585,279.57/3,144.97
  6. Step 6: Final answer
    x = 2,411.88

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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.