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Finding the Fourth Proportional to 3,198.76, 4,410.25 and 2,149

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Solution

The fourth proportional to 3,198.76, 4,410.25 and 2,149 is: 2,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.76 : 4,410.25 = 2,149 : x
  2. Step 2: Convert to fraction form
    3,198.76/4,410.25 = 2,149/x
  3. Step 3: Cross multiply
    3,198.76x = 4,410.25 × 2,149
  4. Step 4: Simplify right side
    3,198.76x = 9,477,627.25
  5. Step 5: Solve for x
    x = 9,477,627.25/3,198.76
  6. Step 6: Final answer
    x = 2,962.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.