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Finding the Fourth Proportional to 2,204.12, 3,305.94 and 665.24

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Solution

The fourth proportional to 2,204.12, 3,305.94 and 665.24 is: 997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.12 : 3,305.94 = 665.24 : x
  2. Step 2: Convert to fraction form
    2,204.12/3,305.94 = 665.24/x
  3. Step 3: Cross multiply
    2,204.12x = 3,305.94 × 665.24
  4. Step 4: Simplify right side
    2,204.12x = 2,199,243.53
  5. Step 5: Solve for x
    x = 2,199,243.53/2,204.12
  6. Step 6: Final answer
    x = 997.79

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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.