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Finding the Fourth Proportional to 2,987.56, 4,481.34 and 796.30

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Solution

The fourth proportional to 2,987.56, 4,481.34 and 796.30 is: 1,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.56 : 4,481.34 = 796.30 : x
  2. Step 2: Convert to fraction form
    2,987.56/4,481.34 = 796.30/x
  3. Step 3: Cross multiply
    2,987.56x = 4,481.34 × 796.30
  4. Step 4: Simplify right side
    2,987.56x = 3,568,491.04
  5. Step 5: Solve for x
    x = 3,568,491.04/2,987.56
  6. Step 6: Final answer
    x = 1,194.45

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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.