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Finding the Fourth Proportional to 2,651.92, 3,969.66 and 2,258.26

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Solution

The fourth proportional to 2,651.92, 3,969.66 and 2,258.26 is: 3,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.92 : 3,969.66 = 2,258.26 : x
  2. Step 2: Convert to fraction form
    2,651.92/3,969.66 = 2,258.26/x
  3. Step 3: Cross multiply
    2,651.92x = 3,969.66 × 2,258.26
  4. Step 4: Simplify right side
    2,651.92x = 8,964,504.54
  5. Step 5: Solve for x
    x = 8,964,504.54/2,651.92
  6. Step 6: Final answer
    x = 3,380.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.