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Finding the Fourth Proportional to 2,836.80, 3,906.72 and 2,049.60

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Solution

The fourth proportional to 2,836.80, 3,906.72 and 2,049.60 is: 2,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.80 : 3,906.72 = 2,049.60 : x
  2. Step 2: Convert to fraction form
    2,836.80/3,906.72 = 2,049.60/x
  3. Step 3: Cross multiply
    2,836.80x = 3,906.72 × 2,049.60
  4. Step 4: Simplify right side
    2,836.80x = 8,007,213.31
  5. Step 5: Solve for x
    x = 8,007,213.31/2,836.80
  6. Step 6: Final answer
    x = 2,822.62

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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.