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Finding the Fourth Proportional to 3,286.79, 4,534 and 2,028.12

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Solution

The fourth proportional to 3,286.79, 4,534 and 2,028.12 is: 2,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.79 : 4,534 = 2,028.12 : x
  2. Step 2: Convert to fraction form
    3,286.79/4,534 = 2,028.12/x
  3. Step 3: Cross multiply
    3,286.79x = 4,534 × 2,028.12
  4. Step 4: Simplify right side
    3,286.79x = 9,195,496.08
  5. Step 5: Solve for x
    x = 9,195,496.08/3,286.79
  6. Step 6: Final answer
    x = 2,797.71

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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.