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Finding the Fourth Proportional to 2,382.62, 3,287.90 and 1,305.83

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Solution

The fourth proportional to 2,382.62, 3,287.90 and 1,305.83 is: 1,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.62 : 3,287.90 = 1,305.83 : x
  2. Step 2: Convert to fraction form
    2,382.62/3,287.90 = 1,305.83/x
  3. Step 3: Cross multiply
    2,382.62x = 3,287.90 × 1,305.83
  4. Step 4: Simplify right side
    2,382.62x = 4,293,445.04
  5. Step 5: Solve for x
    x = 4,293,445.04/2,382.62
  6. Step 6: Final answer
    x = 1,801.99

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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.