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Finding the Fourth Proportional to 3,198.25, 4,797.65 and 889.75

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Solution

The fourth proportional to 3,198.25, 4,797.65 and 889.75 is: 1,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.25 : 4,797.65 = 889.75 : x
  2. Step 2: Convert to fraction form
    3,198.25/4,797.65 = 889.75/x
  3. Step 3: Cross multiply
    3,198.25x = 4,797.65 × 889.75
  4. Step 4: Simplify right side
    3,198.25x = 4,268,709.09
  5. Step 5: Solve for x
    x = 4,268,709.09/3,198.25
  6. Step 6: Final answer
    x = 1,334.70

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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.