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Finding the Fourth Proportional to 2,622, 3,933 and 1,467.75

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Solution

The fourth proportional to 2,622, 3,933 and 1,467.75 is: 2,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622 : 3,933 = 1,467.75 : x
  2. Step 2: Convert to fraction form
    2,622/3,933 = 1,467.75/x
  3. Step 3: Cross multiply
    2,622x = 3,933 × 1,467.75
  4. Step 4: Simplify right side
    2,622x = 5,772,660.75
  5. Step 5: Solve for x
    x = 5,772,660.75/2,622
  6. Step 6: Final answer
    x = 2,201.63

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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.