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Finding the Fourth Proportional to 4,163.84, 6,245.74 and 1,242.15

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Solution

The fourth proportional to 4,163.84, 6,245.74 and 1,242.15 is: 1,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.84 : 6,245.74 = 1,242.15 : x
  2. Step 2: Convert to fraction form
    4,163.84/6,245.74 = 1,242.15/x
  3. Step 3: Cross multiply
    4,163.84x = 6,245.74 × 1,242.15
  4. Step 4: Simplify right side
    4,163.84x = 7,758,145.94
  5. Step 5: Solve for x
    x = 7,758,145.94/4,163.84
  6. Step 6: Final answer
    x = 1,863.22

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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.