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Finding the Fourth Proportional to 2,279.20, 3,418.26 and 892.48

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Solution

The fourth proportional to 2,279.20, 3,418.26 and 892.48 is: 1,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.20 : 3,418.26 = 892.48 : x
  2. Step 2: Convert to fraction form
    2,279.20/3,418.26 = 892.48/x
  3. Step 3: Cross multiply
    2,279.20x = 3,418.26 × 892.48
  4. Step 4: Simplify right side
    2,279.20x = 3,050,728.68
  5. Step 5: Solve for x
    x = 3,050,728.68/2,279.20
  6. Step 6: Final answer
    x = 1,338.51

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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.