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Finding the Fourth Proportional to 2,818.05, 4,227.18 and 843.71

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Solution

The fourth proportional to 2,818.05, 4,227.18 and 843.71 is: 1,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.05 : 4,227.18 = 843.71 : x
  2. Step 2: Convert to fraction form
    2,818.05/4,227.18 = 843.71/x
  3. Step 3: Cross multiply
    2,818.05x = 4,227.18 × 843.71
  4. Step 4: Simplify right side
    2,818.05x = 3,566,514.04
  5. Step 5: Solve for x
    x = 3,566,514.04/2,818.05
  6. Step 6: Final answer
    x = 1,265.60

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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.