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Finding the Fourth Proportional to 2,753.44, 4,122.60 and 2,084.40

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Solution

The fourth proportional to 2,753.44, 4,122.60 and 2,084.40 is: 3,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.44 : 4,122.60 = 2,084.40 : x
  2. Step 2: Convert to fraction form
    2,753.44/4,122.60 = 2,084.40/x
  3. Step 3: Cross multiply
    2,753.44x = 4,122.60 × 2,084.40
  4. Step 4: Simplify right side
    2,753.44x = 8,593,147.44
  5. Step 5: Solve for x
    x = 8,593,147.44/2,753.44
  6. Step 6: Final answer
    x = 3,120.88

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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.