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Finding the Fourth Proportional to 2,396.28, 3,591.03 and 2,147.92

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Solution

The fourth proportional to 2,396.28, 3,591.03 and 2,147.92 is: 3,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.28 : 3,591.03 = 2,147.92 : x
  2. Step 2: Convert to fraction form
    2,396.28/3,591.03 = 2,147.92/x
  3. Step 3: Cross multiply
    2,396.28x = 3,591.03 × 2,147.92
  4. Step 4: Simplify right side
    2,396.28x = 7,713,244.23
  5. Step 5: Solve for x
    x = 7,713,244.23/2,396.28
  6. Step 6: Final answer
    x = 3,218.84

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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.