Home / 2,204.16-3,306.92-743.19

Finding the Fourth Proportional to 2,204.16, 3,306.92 and 743.19

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Solution

The fourth proportional to 2,204.16, 3,306.92 and 743.19 is: 1,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.16 : 3,306.92 = 743.19 : x
  2. Step 2: Convert to fraction form
    2,204.16/3,306.92 = 743.19/x
  3. Step 3: Cross multiply
    2,204.16x = 3,306.92 × 743.19
  4. Step 4: Simplify right side
    2,204.16x = 2,457,682.74
  5. Step 5: Solve for x
    x = 2,457,682.74/2,204.16
  6. Step 6: Final answer
    x = 1,115.02

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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.