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Finding the Fourth Proportional to 2,661.97, 3,996.49 and 2,274.46

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Solution

The fourth proportional to 2,661.97, 3,996.49 and 2,274.46 is: 3,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.97 : 3,996.49 = 2,274.46 : x
  2. Step 2: Convert to fraction form
    2,661.97/3,996.49 = 2,274.46/x
  3. Step 3: Cross multiply
    2,661.97x = 3,996.49 × 2,274.46
  4. Step 4: Simplify right side
    2,661.97x = 9,089,856.65
  5. Step 5: Solve for x
    x = 9,089,856.65/2,661.97
  6. Step 6: Final answer
    x = 3,414.71

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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.