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Finding the Fourth Proportional to 2,441.28, 3,661.16 and 797.48

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Solution

The fourth proportional to 2,441.28, 3,661.16 and 797.48 is: 1,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.28 : 3,661.16 = 797.48 : x
  2. Step 2: Convert to fraction form
    2,441.28/3,661.16 = 797.48/x
  3. Step 3: Cross multiply
    2,441.28x = 3,661.16 × 797.48
  4. Step 4: Simplify right side
    2,441.28x = 2,919,679.58
  5. Step 5: Solve for x
    x = 2,919,679.58/2,441.28
  6. Step 6: Final answer
    x = 1,195.96

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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.