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Finding the Fourth Proportional to 2,550.27, 3,828.11 and 2,143.80

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Solution

The fourth proportional to 2,550.27, 3,828.11 and 2,143.80 is: 3,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.27 : 3,828.11 = 2,143.80 : x
  2. Step 2: Convert to fraction form
    2,550.27/3,828.11 = 2,143.80/x
  3. Step 3: Cross multiply
    2,550.27x = 3,828.11 × 2,143.80
  4. Step 4: Simplify right side
    2,550.27x = 8,206,691.50
  5. Step 5: Solve for x
    x = 8,206,691.50/2,550.27
  6. Step 6: Final answer
    x = 3,217.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.