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Finding the Fourth Proportional to 2,629.96, 3,944.89 and 682.15

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Solution

The fourth proportional to 2,629.96, 3,944.89 and 682.15 is: 1,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.96 : 3,944.89 = 682.15 : x
  2. Step 2: Convert to fraction form
    2,629.96/3,944.89 = 682.15/x
  3. Step 3: Cross multiply
    2,629.96x = 3,944.89 × 682.15
  4. Step 4: Simplify right side
    2,629.96x = 2,691,006.71
  5. Step 5: Solve for x
    x = 2,691,006.71/2,629.96
  6. Step 6: Final answer
    x = 1,023.21

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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.