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Finding the Fourth Proportional to 3,343.94, 5,015.49 and 878.97

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Solution

The fourth proportional to 3,343.94, 5,015.49 and 878.97 is: 1,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.94 : 5,015.49 = 878.97 : x
  2. Step 2: Convert to fraction form
    3,343.94/5,015.49 = 878.97/x
  3. Step 3: Cross multiply
    3,343.94x = 5,015.49 × 878.97
  4. Step 4: Simplify right side
    3,343.94x = 4,408,465.25
  5. Step 5: Solve for x
    x = 4,408,465.25/3,343.94
  6. Step 6: Final answer
    x = 1,318.34

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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.