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Finding the Fourth Proportional to 1,382.61, 2,073.84 and 1,229.92

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Solution

The fourth proportional to 1,382.61, 2,073.84 and 1,229.92 is: 1,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.61 : 2,073.84 = 1,229.92 : x
  2. Step 2: Convert to fraction form
    1,382.61/2,073.84 = 1,229.92/x
  3. Step 3: Cross multiply
    1,382.61x = 2,073.84 × 1,229.92
  4. Step 4: Simplify right side
    1,382.61x = 2,550,657.29
  5. Step 5: Solve for x
    x = 2,550,657.29/1,382.61
  6. Step 6: Final answer
    x = 1,844.82

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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.