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Finding the Fourth Proportional to 3,067.54, 4,601.76 and 1,119.28

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Solution

The fourth proportional to 3,067.54, 4,601.76 and 1,119.28 is: 1,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.54 : 4,601.76 = 1,119.28 : x
  2. Step 2: Convert to fraction form
    3,067.54/4,601.76 = 1,119.28/x
  3. Step 3: Cross multiply
    3,067.54x = 4,601.76 × 1,119.28
  4. Step 4: Simplify right side
    3,067.54x = 5,150,657.93
  5. Step 5: Solve for x
    x = 5,150,657.93/3,067.54
  6. Step 6: Final answer
    x = 1,679.08

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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.