Home / 2,282.26-3,422.16-801.10

Finding the Fourth Proportional to 2,282.26, 3,422.16 and 801.10

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Solution

The fourth proportional to 2,282.26, 3,422.16 and 801.10 is: 1,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.26 : 3,422.16 = 801.10 : x
  2. Step 2: Convert to fraction form
    2,282.26/3,422.16 = 801.10/x
  3. Step 3: Cross multiply
    2,282.26x = 3,422.16 × 801.10
  4. Step 4: Simplify right side
    2,282.26x = 2,741,492.38
  5. Step 5: Solve for x
    x = 2,741,492.38/2,282.26
  6. Step 6: Final answer
    x = 1,201.22

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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.