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Finding the Fourth Proportional to 3,382.56, 4,667.22 and 2,205.36

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Solution

The fourth proportional to 3,382.56, 4,667.22 and 2,205.36 is: 3,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.56 : 4,667.22 = 2,205.36 : x
  2. Step 2: Convert to fraction form
    3,382.56/4,667.22 = 2,205.36/x
  3. Step 3: Cross multiply
    3,382.56x = 4,667.22 × 2,205.36
  4. Step 4: Simplify right side
    3,382.56x = 10,292,900.30
  5. Step 5: Solve for x
    x = 10,292,900.30/3,382.56
  6. Step 6: Final answer
    x = 3,042.93

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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.