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Finding the Fourth Proportional to 1,885.82, 2,825.85 and 789.59

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Solution

The fourth proportional to 1,885.82, 2,825.85 and 789.59 is: 1,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.82 : 2,825.85 = 789.59 : x
  2. Step 2: Convert to fraction form
    1,885.82/2,825.85 = 789.59/x
  3. Step 3: Cross multiply
    1,885.82x = 2,825.85 × 789.59
  4. Step 4: Simplify right side
    1,885.82x = 2,231,269.97
  5. Step 5: Solve for x
    x = 2,231,269.97/1,885.82
  6. Step 6: Final answer
    x = 1,183.18

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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.