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Finding the Fourth Proportional to 2,189.40, 3,285.78 and 891.96

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Solution

The fourth proportional to 2,189.40, 3,285.78 and 891.96 is: 1,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.40 : 3,285.78 = 891.96 : x
  2. Step 2: Convert to fraction form
    2,189.40/3,285.78 = 891.96/x
  3. Step 3: Cross multiply
    2,189.40x = 3,285.78 × 891.96
  4. Step 4: Simplify right side
    2,189.40x = 2,930,784.33
  5. Step 5: Solve for x
    x = 2,930,784.33/2,189.40
  6. Step 6: Final answer
    x = 1,338.62

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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.