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Finding the Fourth Proportional to 2,964.36, 4,447.26 and 1,321.44

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Solution

The fourth proportional to 2,964.36, 4,447.26 and 1,321.44 is: 1,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.36 : 4,447.26 = 1,321.44 : x
  2. Step 2: Convert to fraction form
    2,964.36/4,447.26 = 1,321.44/x
  3. Step 3: Cross multiply
    2,964.36x = 4,447.26 × 1,321.44
  4. Step 4: Simplify right side
    2,964.36x = 5,876,787.25
  5. Step 5: Solve for x
    x = 5,876,787.25/2,964.36
  6. Step 6: Final answer
    x = 1,982.48

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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.