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Finding the Fourth Proportional to 3,268, 4,513.68 and 2,218.24

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Solution

The fourth proportional to 3,268, 4,513.68 and 2,218.24 is: 3,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268 : 4,513.68 = 2,218.24 : x
  2. Step 2: Convert to fraction form
    3,268/4,513.68 = 2,218.24/x
  3. Step 3: Cross multiply
    3,268x = 4,513.68 × 2,218.24
  4. Step 4: Simplify right side
    3,268x = 10,012,425.52
  5. Step 5: Solve for x
    x = 10,012,425.52/3,268
  6. Step 6: Final answer
    x = 3,063.78

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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.