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Finding the Fourth Proportional to 2,987.54, 4,481.49 and 796.22

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Solution

The fourth proportional to 2,987.54, 4,481.49 and 796.22 is: 1,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.54 : 4,481.49 = 796.22 : x
  2. Step 2: Convert to fraction form
    2,987.54/4,481.49 = 796.22/x
  3. Step 3: Cross multiply
    2,987.54x = 4,481.49 × 796.22
  4. Step 4: Simplify right side
    2,987.54x = 3,568,229.56
  5. Step 5: Solve for x
    x = 3,568,229.56/2,987.54
  6. Step 6: Final answer
    x = 1,194.37

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1.5x scale

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.