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Finding the Fourth Proportional to 2,616.32, 3,924.14 and 2,180.29

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Solution

The fourth proportional to 2,616.32, 3,924.14 and 2,180.29 is: 3,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.32 : 3,924.14 = 2,180.29 : x
  2. Step 2: Convert to fraction form
    2,616.32/3,924.14 = 2,180.29/x
  3. Step 3: Cross multiply
    2,616.32x = 3,924.14 × 2,180.29
  4. Step 4: Simplify right side
    2,616.32x = 8,555,742.49
  5. Step 5: Solve for x
    x = 8,555,742.49/2,616.32
  6. Step 6: Final answer
    x = 3,270.15

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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.