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Finding the Fourth Proportional to 3,067.16, 4,600.85 and 986.89

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Solution

The fourth proportional to 3,067.16, 4,600.85 and 986.89 is: 1,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.16 : 4,600.85 = 986.89 : x
  2. Step 2: Convert to fraction form
    3,067.16/4,600.85 = 986.89/x
  3. Step 3: Cross multiply
    3,067.16x = 4,600.85 × 986.89
  4. Step 4: Simplify right side
    3,067.16x = 4,540,523.82
  5. Step 5: Solve for x
    x = 4,540,523.82/3,067.16
  6. Step 6: Final answer
    x = 1,480.37

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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.