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Finding the Fourth Proportional to 3,204, 4,422.83 and 2,024.84

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Solution

The fourth proportional to 3,204, 4,422.83 and 2,024.84 is: 2,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 4,422.83 = 2,024.84 : x
  2. Step 2: Convert to fraction form
    3,204/4,422.83 = 2,024.84/x
  3. Step 3: Cross multiply
    3,204x = 4,422.83 × 2,024.84
  4. Step 4: Simplify right side
    3,204x = 8,955,523.10
  5. Step 5: Solve for x
    x = 8,955,523.10/3,204
  6. Step 6: Final answer
    x = 2,795.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.