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Finding the Fourth Proportional to 2,439.72, 3,659.73 and 796.44

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Solution

The fourth proportional to 2,439.72, 3,659.73 and 796.44 is: 1,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.72 : 3,659.73 = 796.44 : x
  2. Step 2: Convert to fraction form
    2,439.72/3,659.73 = 796.44/x
  3. Step 3: Cross multiply
    2,439.72x = 3,659.73 × 796.44
  4. Step 4: Simplify right side
    2,439.72x = 2,914,755.36
  5. Step 5: Solve for x
    x = 2,914,755.36/2,439.72
  6. Step 6: Final answer
    x = 1,194.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.