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Finding the Fourth Proportional to 2,619.96, 3,930.84 and 1,322.34

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Solution

The fourth proportional to 2,619.96, 3,930.84 and 1,322.34 is: 1,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.96 : 3,930.84 = 1,322.34 : x
  2. Step 2: Convert to fraction form
    2,619.96/3,930.84 = 1,322.34/x
  3. Step 3: Cross multiply
    2,619.96x = 3,930.84 × 1,322.34
  4. Step 4: Simplify right side
    2,619.96x = 5,197,906.97
  5. Step 5: Solve for x
    x = 5,197,906.97/2,619.96
  6. Step 6: Final answer
    x = 1,983.96

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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.