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Finding the Fourth Proportional to 2,092.80, 3,139.68 and 794.40

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Solution

The fourth proportional to 2,092.80, 3,139.68 and 794.40 is: 1,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.80 : 3,139.68 = 794.40 : x
  2. Step 2: Convert to fraction form
    2,092.80/3,139.68 = 794.40/x
  3. Step 3: Cross multiply
    2,092.80x = 3,139.68 × 794.40
  4. Step 4: Simplify right side
    2,092.80x = 2,494,161.79
  5. Step 5: Solve for x
    x = 2,494,161.79/2,092.80
  6. Step 6: Final answer
    x = 1,191.78

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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.