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Finding the Fourth Proportional to 2,818.38, 4,227.78 and 870.57

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Solution

The fourth proportional to 2,818.38, 4,227.78 and 870.57 is: 1,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.38 : 4,227.78 = 870.57 : x
  2. Step 2: Convert to fraction form
    2,818.38/4,227.78 = 870.57/x
  3. Step 3: Cross multiply
    2,818.38x = 4,227.78 × 870.57
  4. Step 4: Simplify right side
    2,818.38x = 3,680,578.43
  5. Step 5: Solve for x
    x = 3,680,578.43/2,818.38
  6. Step 6: Final answer
    x = 1,305.92

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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.