Home / 2,554.26-3,832.11-823.38

Finding the Fourth Proportional to 2,554.26, 3,832.11 and 823.38

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Solution

The fourth proportional to 2,554.26, 3,832.11 and 823.38 is: 1,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.26 : 3,832.11 = 823.38 : x
  2. Step 2: Convert to fraction form
    2,554.26/3,832.11 = 823.38/x
  3. Step 3: Cross multiply
    2,554.26x = 3,832.11 × 823.38
  4. Step 4: Simplify right side
    2,554.26x = 3,155,282.73
  5. Step 5: Solve for x
    x = 3,155,282.73/2,554.26
  6. Step 6: Final answer
    x = 1,235.30

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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.