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Finding the Fourth Proportional to 2,439.47, 3,659.33 and 796.02

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Solution

The fourth proportional to 2,439.47, 3,659.33 and 796.02 is: 1,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.47 : 3,659.33 = 796.02 : x
  2. Step 2: Convert to fraction form
    2,439.47/3,659.33 = 796.02/x
  3. Step 3: Cross multiply
    2,439.47x = 3,659.33 × 796.02
  4. Step 4: Simplify right side
    2,439.47x = 2,912,899.87
  5. Step 5: Solve for x
    x = 2,912,899.87/2,439.47
  6. Step 6: Final answer
    x = 1,194.07

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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.