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Finding the Fourth Proportional to 2,439.80, 3,659.88 and 796.51

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Solution

The fourth proportional to 2,439.80, 3,659.88 and 796.51 is: 1,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.80 : 3,659.88 = 796.51 : x
  2. Step 2: Convert to fraction form
    2,439.80/3,659.88 = 796.51/x
  3. Step 3: Cross multiply
    2,439.80x = 3,659.88 × 796.51
  4. Step 4: Simplify right side
    2,439.80x = 2,915,128.29
  5. Step 5: Solve for x
    x = 2,915,128.29/2,439.80
  6. Step 6: Final answer
    x = 1,194.82

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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.