Home / 2,261.92-3,120.24-1,422.40

Finding the Fourth Proportional to 2,261.92, 3,120.24 and 1,422.40

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Solution

The fourth proportional to 2,261.92, 3,120.24 and 1,422.40 is: 1,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.92 : 3,120.24 = 1,422.40 : x
  2. Step 2: Convert to fraction form
    2,261.92/3,120.24 = 1,422.40/x
  3. Step 3: Cross multiply
    2,261.92x = 3,120.24 × 1,422.40
  4. Step 4: Simplify right side
    2,261.92x = 4,438,229.38
  5. Step 5: Solve for x
    x = 4,438,229.38/2,261.92
  6. Step 6: Final answer
    x = 1,962.15

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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.