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Finding the Fourth Proportional to 2,054.53, 3,082.29 and 1,067.68

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Solution

The fourth proportional to 2,054.53, 3,082.29 and 1,067.68 is: 1,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.53 : 3,082.29 = 1,067.68 : x
  2. Step 2: Convert to fraction form
    2,054.53/3,082.29 = 1,067.68/x
  3. Step 3: Cross multiply
    2,054.53x = 3,082.29 × 1,067.68
  4. Step 4: Simplify right side
    2,054.53x = 3,290,899.39
  5. Step 5: Solve for x
    x = 3,290,899.39/2,054.53
  6. Step 6: Final answer
    x = 1,601.78

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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.