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Finding the Fourth Proportional to 1,824.92, 2,517.80 and 1,079.13

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Solution

The fourth proportional to 1,824.92, 2,517.80 and 1,079.13 is: 1,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.92 : 2,517.80 = 1,079.13 : x
  2. Step 2: Convert to fraction form
    1,824.92/2,517.80 = 1,079.13/x
  3. Step 3: Cross multiply
    1,824.92x = 2,517.80 × 1,079.13
  4. Step 4: Simplify right side
    1,824.92x = 2,717,028.12
  5. Step 5: Solve for x
    x = 2,717,028.12/1,824.92
  6. Step 6: Final answer
    x = 1,488.85

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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.