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Finding the Fourth Proportional to 2,189.09, 3,283.85 and 727.85

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Solution

The fourth proportional to 2,189.09, 3,283.85 and 727.85 is: 1,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.09 : 3,283.85 = 727.85 : x
  2. Step 2: Convert to fraction form
    2,189.09/3,283.85 = 727.85/x
  3. Step 3: Cross multiply
    2,189.09x = 3,283.85 × 727.85
  4. Step 4: Simplify right side
    2,189.09x = 2,390,135.62
  5. Step 5: Solve for x
    x = 2,390,135.62/2,189.09
  6. Step 6: Final answer
    x = 1,091.84

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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.