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Finding the Fourth Proportional to 1,884.82, 2,827.46 and 789.19

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Solution

The fourth proportional to 1,884.82, 2,827.46 and 789.19 is: 1,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.82 : 2,827.46 = 789.19 : x
  2. Step 2: Convert to fraction form
    1,884.82/2,827.46 = 789.19/x
  3. Step 3: Cross multiply
    1,884.82x = 2,827.46 × 789.19
  4. Step 4: Simplify right side
    1,884.82x = 2,231,409.53
  5. Step 5: Solve for x
    x = 2,231,409.53/1,884.82
  6. Step 6: Final answer
    x = 1,183.89

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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.