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Finding the Fourth Proportional to 2,149.48, 3,224.22 and 996.04

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Solution

The fourth proportional to 2,149.48, 3,224.22 and 996.04 is: 1,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.48 : 3,224.22 = 996.04 : x
  2. Step 2: Convert to fraction form
    2,149.48/3,224.22 = 996.04/x
  3. Step 3: Cross multiply
    2,149.48x = 3,224.22 × 996.04
  4. Step 4: Simplify right side
    2,149.48x = 3,211,452.09
  5. Step 5: Solve for x
    x = 3,211,452.09/2,149.48
  6. Step 6: Final answer
    x = 1,494.06

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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.