Home / 2,282.44-3,420.72-1,032.12

Finding the Fourth Proportional to 2,282.44, 3,420.72 and 1,032.12

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Solution

The fourth proportional to 2,282.44, 3,420.72 and 1,032.12 is: 1,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.44 : 3,420.72 = 1,032.12 : x
  2. Step 2: Convert to fraction form
    2,282.44/3,420.72 = 1,032.12/x
  3. Step 3: Cross multiply
    2,282.44x = 3,420.72 × 1,032.12
  4. Step 4: Simplify right side
    2,282.44x = 3,530,593.53
  5. Step 5: Solve for x
    x = 3,530,593.53/2,282.44
  6. Step 6: Final answer
    x = 1,546.85

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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.