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Finding the Fourth Proportional to 2,942.92, 4,061.10 and 1,616.55

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Solution

The fourth proportional to 2,942.92, 4,061.10 and 1,616.55 is: 2,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.92 : 4,061.10 = 1,616.55 : x
  2. Step 2: Convert to fraction form
    2,942.92/4,061.10 = 1,616.55/x
  3. Step 3: Cross multiply
    2,942.92x = 4,061.10 × 1,616.55
  4. Step 4: Simplify right side
    2,942.92x = 6,564,971.21
  5. Step 5: Solve for x
    x = 6,564,971.21/2,942.92
  6. Step 6: Final answer
    x = 2,230.77

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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.