Home / 2,204.24-3,305.46-817.68

Finding the Fourth Proportional to 2,204.24, 3,305.46 and 817.68

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Solution

The fourth proportional to 2,204.24, 3,305.46 and 817.68 is: 1,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.24 : 3,305.46 = 817.68 : x
  2. Step 2: Convert to fraction form
    2,204.24/3,305.46 = 817.68/x
  3. Step 3: Cross multiply
    2,204.24x = 3,305.46 × 817.68
  4. Step 4: Simplify right side
    2,204.24x = 2,702,808.53
  5. Step 5: Solve for x
    x = 2,702,808.53/2,204.24
  6. Step 6: Final answer
    x = 1,226.19

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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.