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Finding the Fourth Proportional to 2,092.78, 3,138.45 and 611.61

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Solution

The fourth proportional to 2,092.78, 3,138.45 and 611.61 is: 917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.78 : 3,138.45 = 611.61 : x
  2. Step 2: Convert to fraction form
    2,092.78/3,138.45 = 611.61/x
  3. Step 3: Cross multiply
    2,092.78x = 3,138.45 × 611.61
  4. Step 4: Simplify right side
    2,092.78x = 1,919,493.34
  5. Step 5: Solve for x
    x = 1,919,493.34/2,092.78
  6. Step 6: Final answer
    x = 917.20

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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.