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Finding the Fourth Proportional to 4,163.46, 6,244.16 and 1,241.76

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Solution

The fourth proportional to 4,163.46, 6,244.16 and 1,241.76 is: 1,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.46 : 6,244.16 = 1,241.76 : x
  2. Step 2: Convert to fraction form
    4,163.46/6,244.16 = 1,241.76/x
  3. Step 3: Cross multiply
    4,163.46x = 6,244.16 × 1,241.76
  4. Step 4: Simplify right side
    4,163.46x = 7,753,748.12
  5. Step 5: Solve for x
    x = 7,753,748.12/4,163.46
  6. Step 6: Final answer
    x = 1,862.33

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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.