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Finding the Fourth Proportional to 2,279.10, 3,418.63 and 818.35

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Solution

The fourth proportional to 2,279.10, 3,418.63 and 818.35 is: 1,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.10 : 3,418.63 = 818.35 : x
  2. Step 2: Convert to fraction form
    2,279.10/3,418.63 = 818.35/x
  3. Step 3: Cross multiply
    2,279.10x = 3,418.63 × 818.35
  4. Step 4: Simplify right side
    2,279.10x = 2,797,635.86
  5. Step 5: Solve for x
    x = 2,797,635.86/2,279.10
  6. Step 6: Final answer
    x = 1,227.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.