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Finding the Fourth Proportional to 3,163.64, 4,748.33 and 1,604.73

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Solution

The fourth proportional to 3,163.64, 4,748.33 and 1,604.73 is: 2,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.64 : 4,748.33 = 1,604.73 : x
  2. Step 2: Convert to fraction form
    3,163.64/4,748.33 = 1,604.73/x
  3. Step 3: Cross multiply
    3,163.64x = 4,748.33 × 1,604.73
  4. Step 4: Simplify right side
    3,163.64x = 7,619,755.84
  5. Step 5: Solve for x
    x = 7,619,755.84/3,163.64
  6. Step 6: Final answer
    x = 2,408.54

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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.