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Finding the Fourth Proportional to 2,818.82, 4,227.51 and 869.96

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Solution

The fourth proportional to 2,818.82, 4,227.51 and 869.96 is: 1,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.82 : 4,227.51 = 869.96 : x
  2. Step 2: Convert to fraction form
    2,818.82/4,227.51 = 869.96/x
  3. Step 3: Cross multiply
    2,818.82x = 4,227.51 × 869.96
  4. Step 4: Simplify right side
    2,818.82x = 3,677,764.60
  5. Step 5: Solve for x
    x = 3,677,764.60/2,818.82
  6. Step 6: Final answer
    x = 1,304.72

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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.