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Finding the Fourth Proportional to 2,694.78, 4,042.22 and 845.85

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Solution

The fourth proportional to 2,694.78, 4,042.22 and 845.85 is: 1,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.78 : 4,042.22 = 845.85 : x
  2. Step 2: Convert to fraction form
    2,694.78/4,042.22 = 845.85/x
  3. Step 3: Cross multiply
    2,694.78x = 4,042.22 × 845.85
  4. Step 4: Simplify right side
    2,694.78x = 3,419,111.79
  5. Step 5: Solve for x
    x = 3,419,111.79/2,694.78
  6. Step 6: Final answer
    x = 1,268.79

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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.