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Finding the Fourth Proportional to 2,279.44, 3,418.32 and 818.20

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Solution

The fourth proportional to 2,279.44, 3,418.32 and 818.20 is: 1,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.44 : 3,418.32 = 818.20 : x
  2. Step 2: Convert to fraction form
    2,279.44/3,418.32 = 818.20/x
  3. Step 3: Cross multiply
    2,279.44x = 3,418.32 × 818.20
  4. Step 4: Simplify right side
    2,279.44x = 2,796,869.42
  5. Step 5: Solve for x
    x = 2,796,869.42/2,279.44
  6. Step 6: Final answer
    x = 1,227.00

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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.