Home / 2,306.09-3,458.88-825.25

Finding the Fourth Proportional to 2,306.09, 3,458.88 and 825.25

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Solution

The fourth proportional to 2,306.09, 3,458.88 and 825.25 is: 1,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.09 : 3,458.88 = 825.25 : x
  2. Step 2: Convert to fraction form
    2,306.09/3,458.88 = 825.25/x
  3. Step 3: Cross multiply
    2,306.09x = 3,458.88 × 825.25
  4. Step 4: Simplify right side
    2,306.09x = 2,854,441.10
  5. Step 5: Solve for x
    x = 2,854,441.10/2,306.09
  6. Step 6: Final answer
    x = 1,237.78

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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.