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Finding the Fourth Proportional to 2,189.96, 3,283.20 and 1,093.76

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Solution

The fourth proportional to 2,189.96, 3,283.20 and 1,093.76 is: 1,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.96 : 3,283.20 = 1,093.76 : x
  2. Step 2: Convert to fraction form
    2,189.96/3,283.20 = 1,093.76/x
  3. Step 3: Cross multiply
    2,189.96x = 3,283.20 × 1,093.76
  4. Step 4: Simplify right side
    2,189.96x = 3,591,016.42
  5. Step 5: Solve for x
    x = 3,591,016.42/2,189.96
  6. Step 6: Final answer
    x = 1,639.77

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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.