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Finding the Fourth Proportional to 2,787.44, 3,847.32 and 2,042.48

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Solution

The fourth proportional to 2,787.44, 3,847.32 and 2,042.48 is: 2,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.44 : 3,847.32 = 2,042.48 : x
  2. Step 2: Convert to fraction form
    2,787.44/3,847.32 = 2,042.48/x
  3. Step 3: Cross multiply
    2,787.44x = 3,847.32 × 2,042.48
  4. Step 4: Simplify right side
    2,787.44x = 7,858,074.15
  5. Step 5: Solve for x
    x = 7,858,074.15/2,787.44
  6. Step 6: Final answer
    x = 2,819.10

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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.