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Finding the Fourth Proportional to 3,163.50, 4,741.41 and 2,380.99

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Solution

The fourth proportional to 3,163.50, 4,741.41 and 2,380.99 is: 3,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.50 : 4,741.41 = 2,380.99 : x
  2. Step 2: Convert to fraction form
    3,163.50/4,741.41 = 2,380.99/x
  3. Step 3: Cross multiply
    3,163.50x = 4,741.41 × 2,380.99
  4. Step 4: Simplify right side
    3,163.50x = 11,289,251.36
  5. Step 5: Solve for x
    x = 11,289,251.36/3,163.50
  6. Step 6: Final answer
    x = 3,568.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.