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Finding the Fourth Proportional to 2,321.67, 3,481.81 and 677.70

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Solution

The fourth proportional to 2,321.67, 3,481.81 and 677.70 is: 1,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.67 : 3,481.81 = 677.70 : x
  2. Step 2: Convert to fraction form
    2,321.67/3,481.81 = 677.70/x
  3. Step 3: Cross multiply
    2,321.67x = 3,481.81 × 677.70
  4. Step 4: Simplify right side
    2,321.67x = 2,359,622.64
  5. Step 5: Solve for x
    x = 2,359,622.64/2,321.67
  6. Step 6: Final answer
    x = 1,016.35

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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.