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Finding the Fourth Proportional to 2,566.04, 3,853.13 and 2,149.11

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Solution

The fourth proportional to 2,566.04, 3,853.13 and 2,149.11 is: 3,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.04 : 3,853.13 = 2,149.11 : x
  2. Step 2: Convert to fraction form
    2,566.04/3,853.13 = 2,149.11/x
  3. Step 3: Cross multiply
    2,566.04x = 3,853.13 × 2,149.11
  4. Step 4: Simplify right side
    2,566.04x = 8,280,789.47
  5. Step 5: Solve for x
    x = 8,280,789.47/2,566.04
  6. Step 6: Final answer
    x = 3,227.08

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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.