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Finding the Fourth Proportional to 2,044.74, 3,067.62 and 658.20

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Solution

The fourth proportional to 2,044.74, 3,067.62 and 658.20 is: 987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.74 : 3,067.62 = 658.20 : x
  2. Step 2: Convert to fraction form
    2,044.74/3,067.62 = 658.20/x
  3. Step 3: Cross multiply
    2,044.74x = 3,067.62 × 658.20
  4. Step 4: Simplify right side
    2,044.74x = 2,019,107.48
  5. Step 5: Solve for x
    x = 2,019,107.48/2,044.74
  6. Step 6: Final answer
    x = 987.46

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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.