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Finding the Fourth Proportional to 2,616.66, 3,914.18 and 2,149.22

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Solution

The fourth proportional to 2,616.66, 3,914.18 and 2,149.22 is: 3,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.66 : 3,914.18 = 2,149.22 : x
  2. Step 2: Convert to fraction form
    2,616.66/3,914.18 = 2,149.22/x
  3. Step 3: Cross multiply
    2,616.66x = 3,914.18 × 2,149.22
  4. Step 4: Simplify right side
    2,616.66x = 8,412,433.94
  5. Step 5: Solve for x
    x = 8,412,433.94/2,616.66
  6. Step 6: Final answer
    x = 3,214.95

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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.