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Finding the Fourth Proportional to 2,044.98, 3,067.41 and 584.13

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Solution

The fourth proportional to 2,044.98, 3,067.41 and 584.13 is: 876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.98 : 3,067.41 = 584.13 : x
  2. Step 2: Convert to fraction form
    2,044.98/3,067.41 = 584.13/x
  3. Step 3: Cross multiply
    2,044.98x = 3,067.41 × 584.13
  4. Step 4: Simplify right side
    2,044.98x = 1,791,766.20
  5. Step 5: Solve for x
    x = 1,791,766.20/2,044.98
  6. Step 6: Final answer
    x = 876.18

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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.