Home / 2,149.14-3,221.80-850.30

Finding the Fourth Proportional to 2,149.14, 3,221.80 and 850.30

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Solution

The fourth proportional to 2,149.14, 3,221.80 and 850.30 is: 1,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.14 : 3,221.80 = 850.30 : x
  2. Step 2: Convert to fraction form
    2,149.14/3,221.80 = 850.30/x
  3. Step 3: Cross multiply
    2,149.14x = 3,221.80 × 850.30
  4. Step 4: Simplify right side
    2,149.14x = 2,739,496.54
  5. Step 5: Solve for x
    x = 2,739,496.54/2,149.14
  6. Step 6: Final answer
    x = 1,274.69

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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.