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Finding the Fourth Proportional to 2,163.55, 3,245.20 and 1,238.53

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Solution

The fourth proportional to 2,163.55, 3,245.20 and 1,238.53 is: 1,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.55 : 3,245.20 = 1,238.53 : x
  2. Step 2: Convert to fraction form
    2,163.55/3,245.20 = 1,238.53/x
  3. Step 3: Cross multiply
    2,163.55x = 3,245.20 × 1,238.53
  4. Step 4: Simplify right side
    2,163.55x = 4,019,277.56
  5. Step 5: Solve for x
    x = 4,019,277.56/2,163.55
  6. Step 6: Final answer
    x = 1,857.72

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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.