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Finding the Fourth Proportional to 2,092.87, 3,139.30 and 794.34

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Solution

The fourth proportional to 2,092.87, 3,139.30 and 794.34 is: 1,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.87 : 3,139.30 = 794.34 : x
  2. Step 2: Convert to fraction form
    2,092.87/3,139.30 = 794.34/x
  3. Step 3: Cross multiply
    2,092.87x = 3,139.30 × 794.34
  4. Step 4: Simplify right side
    2,092.87x = 2,493,671.56
  5. Step 5: Solve for x
    x = 2,493,671.56/2,092.87
  6. Step 6: Final answer
    x = 1,191.51

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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.