Home / 2,124.27-3,186.41-826.04

Finding the Fourth Proportional to 2,124.27, 3,186.41 and 826.04

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Solution

The fourth proportional to 2,124.27, 3,186.41 and 826.04 is: 1,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.27 : 3,186.41 = 826.04 : x
  2. Step 2: Convert to fraction form
    2,124.27/3,186.41 = 826.04/x
  3. Step 3: Cross multiply
    2,124.27x = 3,186.41 × 826.04
  4. Step 4: Simplify right side
    2,124.27x = 2,632,105.95
  5. Step 5: Solve for x
    x = 2,632,105.95/2,124.27
  6. Step 6: Final answer
    x = 1,239.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.