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Finding the Fourth Proportional to 2,266.42, 3,397.89 and 879.55

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Solution

The fourth proportional to 2,266.42, 3,397.89 and 879.55 is: 1,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.42 : 3,397.89 = 879.55 : x
  2. Step 2: Convert to fraction form
    2,266.42/3,397.89 = 879.55/x
  3. Step 3: Cross multiply
    2,266.42x = 3,397.89 × 879.55
  4. Step 4: Simplify right side
    2,266.42x = 2,988,614.15
  5. Step 5: Solve for x
    x = 2,988,614.15/2,266.42
  6. Step 6: Final answer
    x = 1,318.65

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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.