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Finding the Fourth Proportional to 1,883.87, 2,826.13 and 789

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Solution

The fourth proportional to 1,883.87, 2,826.13 and 789 is: 1,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.87 : 2,826.13 = 789 : x
  2. Step 2: Convert to fraction form
    1,883.87/2,826.13 = 789/x
  3. Step 3: Cross multiply
    1,883.87x = 2,826.13 × 789
  4. Step 4: Simplify right side
    1,883.87x = 2,229,816.57
  5. Step 5: Solve for x
    x = 2,229,816.57/1,883.87
  6. Step 6: Final answer
    x = 1,183.64

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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.