Home / 2,205.24-3,306.96-818.68

Finding the Fourth Proportional to 2,205.24, 3,306.96 and 818.68

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Solution

The fourth proportional to 2,205.24, 3,306.96 and 818.68 is: 1,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.24 : 3,306.96 = 818.68 : x
  2. Step 2: Convert to fraction form
    2,205.24/3,306.96 = 818.68/x
  3. Step 3: Cross multiply
    2,205.24x = 3,306.96 × 818.68
  4. Step 4: Simplify right side
    2,205.24x = 2,707,342.01
  5. Step 5: Solve for x
    x = 2,707,342.01/2,205.24
  6. Step 6: Final answer
    x = 1,227.69

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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.