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Finding the Fourth Proportional to 2,818.26, 4,227.39 and 1,583.82

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Solution

The fourth proportional to 2,818.26, 4,227.39 and 1,583.82 is: 2,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.26 : 4,227.39 = 1,583.82 : x
  2. Step 2: Convert to fraction form
    2,818.26/4,227.39 = 1,583.82/x
  3. Step 3: Cross multiply
    2,818.26x = 4,227.39 × 1,583.82
  4. Step 4: Simplify right side
    2,818.26x = 6,695,424.83
  5. Step 5: Solve for x
    x = 6,695,424.83/2,818.26
  6. Step 6: Final answer
    x = 2,375.73

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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.