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Finding the Fourth Proportional to 1,842.68, 2,766.80 and 1,585.49

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Solution

The fourth proportional to 1,842.68, 2,766.80 and 1,585.49 is: 2,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.68 : 2,766.80 = 1,585.49 : x
  2. Step 2: Convert to fraction form
    1,842.68/2,766.80 = 1,585.49/x
  3. Step 3: Cross multiply
    1,842.68x = 2,766.80 × 1,585.49
  4. Step 4: Simplify right side
    1,842.68x = 4,386,711.97
  5. Step 5: Solve for x
    x = 4,386,711.97/1,842.68
  6. Step 6: Final answer
    x = 2,380.61

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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.