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Finding the Fourth Proportional to 1,789.57, 2,469.14 and 1,080.85

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Solution

The fourth proportional to 1,789.57, 2,469.14 and 1,080.85 is: 1,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.57 : 2,469.14 = 1,080.85 : x
  2. Step 2: Convert to fraction form
    1,789.57/2,469.14 = 1,080.85/x
  3. Step 3: Cross multiply
    1,789.57x = 2,469.14 × 1,080.85
  4. Step 4: Simplify right side
    1,789.57x = 2,668,769.97
  5. Step 5: Solve for x
    x = 2,668,769.97/1,789.57
  6. Step 6: Final answer
    x = 1,491.29

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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.