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Finding the Fourth Proportional to 2,752.97, 4,129.49 and 805.13

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Solution

The fourth proportional to 2,752.97, 4,129.49 and 805.13 is: 1,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.97 : 4,129.49 = 805.13 : x
  2. Step 2: Convert to fraction form
    2,752.97/4,129.49 = 805.13/x
  3. Step 3: Cross multiply
    2,752.97x = 4,129.49 × 805.13
  4. Step 4: Simplify right side
    2,752.97x = 3,324,757.65
  5. Step 5: Solve for x
    x = 3,324,757.65/2,752.97
  6. Step 6: Final answer
    x = 1,207.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.