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Finding the Fourth Proportional to 2,092.30, 3,138.45 and 793.70

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Solution

The fourth proportional to 2,092.30, 3,138.45 and 793.70 is: 1,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.30 : 3,138.45 = 793.70 : x
  2. Step 2: Convert to fraction form
    2,092.30/3,138.45 = 793.70/x
  3. Step 3: Cross multiply
    2,092.30x = 3,138.45 × 793.70
  4. Step 4: Simplify right side
    2,092.30x = 2,490,987.77
  5. Step 5: Solve for x
    x = 2,490,987.77/2,092.30
  6. Step 6: Final answer
    x = 1,190.55

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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.