Home / 2,120.60-3,179.82-822.44

Finding the Fourth Proportional to 2,120.60, 3,179.82 and 822.44

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Solution

The fourth proportional to 2,120.60, 3,179.82 and 822.44 is: 1,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.60 : 3,179.82 = 822.44 : x
  2. Step 2: Convert to fraction form
    2,120.60/3,179.82 = 822.44/x
  3. Step 3: Cross multiply
    2,120.60x = 3,179.82 × 822.44
  4. Step 4: Simplify right side
    2,120.60x = 2,615,211.16
  5. Step 5: Solve for x
    x = 2,615,211.16/2,120.60
  6. Step 6: Final answer
    x = 1,233.24

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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.