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Finding the Fourth Proportional to 3,222.39, 4,446.80 and 1,896.17

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Solution

The fourth proportional to 3,222.39, 4,446.80 and 1,896.17 is: 2,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.39 : 4,446.80 = 1,896.17 : x
  2. Step 2: Convert to fraction form
    3,222.39/4,446.80 = 1,896.17/x
  3. Step 3: Cross multiply
    3,222.39x = 4,446.80 × 1,896.17
  4. Step 4: Simplify right side
    3,222.39x = 8,431,857.04
  5. Step 5: Solve for x
    x = 8,431,857.04/3,222.39
  6. Step 6: Final answer
    x = 2,616.65

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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.