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Finding the Fourth Proportional to 2,818.42, 4,227.94 and 870.78

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Solution

The fourth proportional to 2,818.42, 4,227.94 and 870.78 is: 1,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.42 : 4,227.94 = 870.78 : x
  2. Step 2: Convert to fraction form
    2,818.42/4,227.94 = 870.78/x
  3. Step 3: Cross multiply
    2,818.42x = 4,227.94 × 870.78
  4. Step 4: Simplify right side
    2,818.42x = 3,681,605.59
  5. Step 5: Solve for x
    x = 3,681,605.59/2,818.42
  6. Step 6: Final answer
    x = 1,306.27

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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.