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Finding the Fourth Proportional to 1,882.49, 2,819.07 and 1,517.99

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Solution

The fourth proportional to 1,882.49, 2,819.07 and 1,517.99 is: 2,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.49 : 2,819.07 = 1,517.99 : x
  2. Step 2: Convert to fraction form
    1,882.49/2,819.07 = 1,517.99/x
  3. Step 3: Cross multiply
    1,882.49x = 2,819.07 × 1,517.99
  4. Step 4: Simplify right side
    1,882.49x = 4,279,305.97
  5. Step 5: Solve for x
    x = 4,279,305.97/1,882.49
  6. Step 6: Final answer
    x = 2,273.22

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