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Finding the Fourth Proportional to 3,144.92, 4,340.16 and 1,747.68

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Solution

The fourth proportional to 3,144.92, 4,340.16 and 1,747.68 is: 2,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.92 : 4,340.16 = 1,747.68 : x
  2. Step 2: Convert to fraction form
    3,144.92/4,340.16 = 1,747.68/x
  3. Step 3: Cross multiply
    3,144.92x = 4,340.16 × 1,747.68
  4. Step 4: Simplify right side
    3,144.92x = 7,585,210.83
  5. Step 5: Solve for x
    x = 7,585,210.83/3,144.92
  6. Step 6: Final answer
    x = 2,411.89

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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.