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Finding the Fourth Proportional to 2,162.62, 2,983.26 and 1,446.04

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Solution

The fourth proportional to 2,162.62, 2,983.26 and 1,446.04 is: 1,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.62 : 2,983.26 = 1,446.04 : x
  2. Step 2: Convert to fraction form
    2,162.62/2,983.26 = 1,446.04/x
  3. Step 3: Cross multiply
    2,162.62x = 2,983.26 × 1,446.04
  4. Step 4: Simplify right side
    2,162.62x = 4,313,906.05
  5. Step 5: Solve for x
    x = 4,313,906.05/2,162.62
  6. Step 6: Final answer
    x = 1,994.76

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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.