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Finding the Fourth Proportional to 2,951.67, 4,426.69 and 871.46

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Solution

The fourth proportional to 2,951.67, 4,426.69 and 871.46 is: 1,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.67 : 4,426.69 = 871.46 : x
  2. Step 2: Convert to fraction form
    2,951.67/4,426.69 = 871.46/x
  3. Step 3: Cross multiply
    2,951.67x = 4,426.69 × 871.46
  4. Step 4: Simplify right side
    2,951.67x = 3,857,661.13
  5. Step 5: Solve for x
    x = 3,857,661.13/2,951.67
  6. Step 6: Final answer
    x = 1,306.94

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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.