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Finding the Fourth Proportional to 2,711.09, 4,066.23 and 861.97

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Solution

The fourth proportional to 2,711.09, 4,066.23 and 861.97 is: 1,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.09 : 4,066.23 = 861.97 : x
  2. Step 2: Convert to fraction form
    2,711.09/4,066.23 = 861.97/x
  3. Step 3: Cross multiply
    2,711.09x = 4,066.23 × 861.97
  4. Step 4: Simplify right side
    2,711.09x = 3,504,968.27
  5. Step 5: Solve for x
    x = 3,504,968.27/2,711.09
  6. Step 6: Final answer
    x = 1,292.83

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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.