Home / 1,882.28-2,822.42-1,103.80

Finding the Fourth Proportional to 1,882.28, 2,822.42 and 1,103.80

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Solution

The fourth proportional to 1,882.28, 2,822.42 and 1,103.80 is: 1,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.28 : 2,822.42 = 1,103.80 : x
  2. Step 2: Convert to fraction form
    1,882.28/2,822.42 = 1,103.80/x
  3. Step 3: Cross multiply
    1,882.28x = 2,822.42 × 1,103.80
  4. Step 4: Simplify right side
    1,882.28x = 3,115,387.20
  5. Step 5: Solve for x
    x = 3,115,387.20/1,882.28
  6. Step 6: Final answer
    x = 1,655.11

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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.