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Finding the Fourth Proportional to 1,943.28, 2,914.86 and 789

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Solution

The fourth proportional to 1,943.28, 2,914.86 and 789 is: 1,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.28 : 2,914.86 = 789 : x
  2. Step 2: Convert to fraction form
    1,943.28/2,914.86 = 789/x
  3. Step 3: Cross multiply
    1,943.28x = 2,914.86 × 789
  4. Step 4: Simplify right side
    1,943.28x = 2,299,824.54
  5. Step 5: Solve for x
    x = 2,299,824.54/1,943.28
  6. Step 6: Final answer
    x = 1,183.48

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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.