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Finding the Fourth Proportional to 2,439.75, 3,660.20 and 796.30

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Solution

The fourth proportional to 2,439.75, 3,660.20 and 796.30 is: 1,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.75 : 3,660.20 = 796.30 : x
  2. Step 2: Convert to fraction form
    2,439.75/3,660.20 = 796.30/x
  3. Step 3: Cross multiply
    2,439.75x = 3,660.20 × 796.30
  4. Step 4: Simplify right side
    2,439.75x = 2,914,598.96
  5. Step 5: Solve for x
    x = 2,914,598.96/2,439.75
  6. Step 6: Final answer
    x = 1,194.63

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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.