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Finding the Fourth Proportional to 3,382.97, 4,664.90 and 2,322.27

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Solution

The fourth proportional to 3,382.97, 4,664.90 and 2,322.27 is: 3,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.97 : 4,664.90 = 2,322.27 : x
  2. Step 2: Convert to fraction form
    3,382.97/4,664.90 = 2,322.27/x
  3. Step 3: Cross multiply
    3,382.97x = 4,664.90 × 2,322.27
  4. Step 4: Simplify right side
    3,382.97x = 10,833,145.71
  5. Step 5: Solve for x
    x = 10,833,145.71/3,382.97
  6. Step 6: Final answer
    x = 3,202.26

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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.