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Finding the Fourth Proportional to 2,787.60, 3,846.79 and 1,608.85

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Solution

The fourth proportional to 2,787.60, 3,846.79 and 1,608.85 is: 2,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.60 : 3,846.79 = 1,608.85 : x
  2. Step 2: Convert to fraction form
    2,787.60/3,846.79 = 1,608.85/x
  3. Step 3: Cross multiply
    2,787.60x = 3,846.79 × 1,608.85
  4. Step 4: Simplify right side
    2,787.60x = 6,188,908.09
  5. Step 5: Solve for x
    x = 6,188,908.09/2,787.60
  6. Step 6: Final answer
    x = 2,220.16

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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.