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Finding the Fourth Proportional to 3,204, 4,419.09 and 2,210.94

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Solution

The fourth proportional to 3,204, 4,419.09 and 2,210.94 is: 3,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 4,419.09 = 2,210.94 : x
  2. Step 2: Convert to fraction form
    3,204/4,419.09 = 2,210.94/x
  3. Step 3: Cross multiply
    3,204x = 4,419.09 × 2,210.94
  4. Step 4: Simplify right side
    3,204x = 9,770,342.84
  5. Step 5: Solve for x
    x = 9,770,342.84/3,204
  6. Step 6: Final answer
    x = 3,049.42

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