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Finding the Fourth Proportional to 3,228.42, 4,454.02 and 1,969.04

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Solution

The fourth proportional to 3,228.42, 4,454.02 and 1,969.04 is: 2,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.42 : 4,454.02 = 1,969.04 : x
  2. Step 2: Convert to fraction form
    3,228.42/4,454.02 = 1,969.04/x
  3. Step 3: Cross multiply
    3,228.42x = 4,454.02 × 1,969.04
  4. Step 4: Simplify right side
    3,228.42x = 8,770,143.54
  5. Step 5: Solve for x
    x = 8,770,143.54/3,228.42
  6. Step 6: Final answer
    x = 2,716.54

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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.