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Finding the Fourth Proportional to 3,067.21, 4,600.77 and 758.71

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Solution

The fourth proportional to 3,067.21, 4,600.77 and 758.71 is: 1,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.21 : 4,600.77 = 758.71 : x
  2. Step 2: Convert to fraction form
    3,067.21/4,600.77 = 758.71/x
  3. Step 3: Cross multiply
    3,067.21x = 4,600.77 × 758.71
  4. Step 4: Simplify right side
    3,067.21x = 3,490,650.21
  5. Step 5: Solve for x
    x = 3,490,650.21/3,067.21
  6. Step 6: Final answer
    x = 1,138.05

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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.