Home / 2,306.22-3,458.48-825.04

Finding the Fourth Proportional to 2,306.22, 3,458.48 and 825.04

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Solution

The fourth proportional to 2,306.22, 3,458.48 and 825.04 is: 1,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.22 : 3,458.48 = 825.04 : x
  2. Step 2: Convert to fraction form
    2,306.22/3,458.48 = 825.04/x
  3. Step 3: Cross multiply
    2,306.22x = 3,458.48 × 825.04
  4. Step 4: Simplify right side
    2,306.22x = 2,853,380.21
  5. Step 5: Solve for x
    x = 2,853,380.21/2,306.22
  6. Step 6: Final answer
    x = 1,237.25

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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.