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Finding the Fourth Proportional to 2,439.90, 3,659.45 and 796.43

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Solution

The fourth proportional to 2,439.90, 3,659.45 and 796.43 is: 1,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.90 : 3,659.45 = 796.43 : x
  2. Step 2: Convert to fraction form
    2,439.90/3,659.45 = 796.43/x
  3. Step 3: Cross multiply
    2,439.90x = 3,659.45 × 796.43
  4. Step 4: Simplify right side
    2,439.90x = 2,914,477.47
  5. Step 5: Solve for x
    x = 2,914,477.47/2,439.90
  6. Step 6: Final answer
    x = 1,194.51

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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.