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Finding the Fourth Proportional to 2,843.27, 4,255.65 and 2,449.61

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Solution

The fourth proportional to 2,843.27, 4,255.65 and 2,449.61 is: 3,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.27 : 4,255.65 = 2,449.61 : x
  2. Step 2: Convert to fraction form
    2,843.27/4,255.65 = 2,449.61/x
  3. Step 3: Cross multiply
    2,843.27x = 4,255.65 × 2,449.61
  4. Step 4: Simplify right side
    2,843.27x = 10,424,682.80
  5. Step 5: Solve for x
    x = 10,424,682.80/2,843.27
  6. Step 6: Final answer
    x = 3,666.44

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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.