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Finding the Fourth Proportional to 2,439.64, 3,659.52 and 796.36

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Solution

The fourth proportional to 2,439.64, 3,659.52 and 796.36 is: 1,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.64 : 3,659.52 = 796.36 : x
  2. Step 2: Convert to fraction form
    2,439.64/3,659.52 = 796.36/x
  3. Step 3: Cross multiply
    2,439.64x = 3,659.52 × 796.36
  4. Step 4: Simplify right side
    2,439.64x = 2,914,295.35
  5. Step 5: Solve for x
    x = 2,914,295.35/2,439.64
  6. Step 6: Final answer
    x = 1,194.56

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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.