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Finding the Fourth Proportional to 2,616.96, 3,922.62 and 1,629.78

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Solution

The fourth proportional to 2,616.96, 3,922.62 and 1,629.78 is: 2,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.96 : 3,922.62 = 1,629.78 : x
  2. Step 2: Convert to fraction form
    2,616.96/3,922.62 = 1,629.78/x
  3. Step 3: Cross multiply
    2,616.96x = 3,922.62 × 1,629.78
  4. Step 4: Simplify right side
    2,616.96x = 6,393,007.62
  5. Step 5: Solve for x
    x = 6,393,007.62/2,616.96
  6. Step 6: Final answer
    x = 2,442.91

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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.