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Finding the Fourth Proportional to 2,942.78, 4,061.09 and 1,616.61

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Solution

The fourth proportional to 2,942.78, 4,061.09 and 1,616.61 is: 2,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.78 : 4,061.09 = 1,616.61 : x
  2. Step 2: Convert to fraction form
    2,942.78/4,061.09 = 1,616.61/x
  3. Step 3: Cross multiply
    2,942.78x = 4,061.09 × 1,616.61
  4. Step 4: Simplify right side
    2,942.78x = 6,565,186.04
  5. Step 5: Solve for x
    x = 6,565,186.04/2,942.78
  6. Step 6: Final answer
    x = 2,230.95

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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.