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Finding the Fourth Proportional to 2,883.96, 4,324.32 and 2,819.16

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Solution

The fourth proportional to 2,883.96, 4,324.32 and 2,819.16 is: 4,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.96 : 4,324.32 = 2,819.16 : x
  2. Step 2: Convert to fraction form
    2,883.96/4,324.32 = 2,819.16/x
  3. Step 3: Cross multiply
    2,883.96x = 4,324.32 × 2,819.16
  4. Step 4: Simplify right side
    2,883.96x = 12,190,949.97
  5. Step 5: Solve for x
    x = 12,190,949.97/2,883.96
  6. Step 6: Final answer
    x = 4,227.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.