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Finding the Fourth Proportional to 2,785.92, 3,843.76 and 2,194.56

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Solution

The fourth proportional to 2,785.92, 3,843.76 and 2,194.56 is: 3,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.92 : 3,843.76 = 2,194.56 : x
  2. Step 2: Convert to fraction form
    2,785.92/3,843.76 = 2,194.56/x
  3. Step 3: Cross multiply
    2,785.92x = 3,843.76 × 2,194.56
  4. Step 4: Simplify right side
    2,785.92x = 8,435,361.95
  5. Step 5: Solve for x
    x = 8,435,361.95/2,785.92
  6. Step 6: Final answer
    x = 3,027.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.