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Finding the Fourth Proportional to 3,244.86, 4,865.94 and 1,164.24

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Solution

The fourth proportional to 3,244.86, 4,865.94 and 1,164.24 is: 1,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.86 : 4,865.94 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    3,244.86/4,865.94 = 1,164.24/x
  3. Step 3: Cross multiply
    3,244.86x = 4,865.94 × 1,164.24
  4. Step 4: Simplify right side
    3,244.86x = 5,665,121.99
  5. Step 5: Solve for x
    x = 5,665,121.99/3,244.86
  6. Step 6: Final answer
    x = 1,745.88

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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.