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Finding the Fourth Proportional to 2,189.11, 3,282.99 and 727.96

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Solution

The fourth proportional to 2,189.11, 3,282.99 and 727.96 is: 1,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.11 : 3,282.99 = 727.96 : x
  2. Step 2: Convert to fraction form
    2,189.11/3,282.99 = 727.96/x
  3. Step 3: Cross multiply
    2,189.11x = 3,282.99 × 727.96
  4. Step 4: Simplify right side
    2,189.11x = 2,389,885.40
  5. Step 5: Solve for x
    x = 2,389,885.40/2,189.11
  6. Step 6: Final answer
    x = 1,091.72

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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.