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Finding the Fourth Proportional to 3,102.20, 4,659.78 and 2,616.20

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Solution

The fourth proportional to 3,102.20, 4,659.78 and 2,616.20 is: 3,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.20 : 4,659.78 = 2,616.20 : x
  2. Step 2: Convert to fraction form
    3,102.20/4,659.78 = 2,616.20/x
  3. Step 3: Cross multiply
    3,102.20x = 4,659.78 × 2,616.20
  4. Step 4: Simplify right side
    3,102.20x = 12,190,916.44
  5. Step 5: Solve for x
    x = 12,190,916.44/3,102.20
  6. Step 6: Final answer
    x = 3,929.76

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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.