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Finding the Fourth Proportional to 2,711.08, 4,066.19 and 861.95

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Solution

The fourth proportional to 2,711.08, 4,066.19 and 861.95 is: 1,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.08 : 4,066.19 = 861.95 : x
  2. Step 2: Convert to fraction form
    2,711.08/4,066.19 = 861.95/x
  3. Step 3: Cross multiply
    2,711.08x = 4,066.19 × 861.95
  4. Step 4: Simplify right side
    2,711.08x = 3,504,852.47
  5. Step 5: Solve for x
    x = 3,504,852.47/2,711.08
  6. Step 6: Final answer
    x = 1,292.79

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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.