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Finding the Fourth Proportional to 2,942.87, 4,061.25 and 1,616.66

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Solution

The fourth proportional to 2,942.87, 4,061.25 and 1,616.66 is: 2,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.87 : 4,061.25 = 1,616.66 : x
  2. Step 2: Convert to fraction form
    2,942.87/4,061.25 = 1,616.66/x
  3. Step 3: Cross multiply
    2,942.87x = 4,061.25 × 1,616.66
  4. Step 4: Simplify right side
    2,942.87x = 6,565,660.43
  5. Step 5: Solve for x
    x = 6,565,660.43/2,942.87
  6. Step 6: Final answer
    x = 2,231.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.