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Finding the Fourth Proportional to 2,094.39, 3,141.72 and 861.77

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Solution

The fourth proportional to 2,094.39, 3,141.72 and 861.77 is: 1,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.39 : 3,141.72 = 861.77 : x
  2. Step 2: Convert to fraction form
    2,094.39/3,141.72 = 861.77/x
  3. Step 3: Cross multiply
    2,094.39x = 3,141.72 × 861.77
  4. Step 4: Simplify right side
    2,094.39x = 2,707,447.90
  5. Step 5: Solve for x
    x = 2,707,447.90/2,094.39
  6. Step 6: Final answer
    x = 1,292.71

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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.