Home / 2,204.09-3,306.13-743.24

Finding the Fourth Proportional to 2,204.09, 3,306.13 and 743.24

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Solution

The fourth proportional to 2,204.09, 3,306.13 and 743.24 is: 1,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.09 : 3,306.13 = 743.24 : x
  2. Step 2: Convert to fraction form
    2,204.09/3,306.13 = 743.24/x
  3. Step 3: Cross multiply
    2,204.09x = 3,306.13 × 743.24
  4. Step 4: Simplify right side
    2,204.09x = 2,457,241.57
  5. Step 5: Solve for x
    x = 2,457,241.57/2,204.09
  6. Step 6: Final answer
    x = 1,114.86

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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.