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Finding the Fourth Proportional to 2,440.01, 3,659.33 and 796.65

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Solution

The fourth proportional to 2,440.01, 3,659.33 and 796.65 is: 1,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.01 : 3,659.33 = 796.65 : x
  2. Step 2: Convert to fraction form
    2,440.01/3,659.33 = 796.65/x
  3. Step 3: Cross multiply
    2,440.01x = 3,659.33 × 796.65
  4. Step 4: Simplify right side
    2,440.01x = 2,915,201.26
  5. Step 5: Solve for x
    x = 2,915,201.26/2,440.01
  6. Step 6: Final answer
    x = 1,194.75

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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.