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Finding the Fourth Proportional to 3,113.06, 4,667.94 and 1,163.66

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Solution

The fourth proportional to 3,113.06, 4,667.94 and 1,163.66 is: 1,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.06 : 4,667.94 = 1,163.66 : x
  2. Step 2: Convert to fraction form
    3,113.06/4,667.94 = 1,163.66/x
  3. Step 3: Cross multiply
    3,113.06x = 4,667.94 × 1,163.66
  4. Step 4: Simplify right side
    3,113.06x = 5,431,871.72
  5. Step 5: Solve for x
    x = 5,431,871.72/3,113.06
  6. Step 6: Final answer
    x = 1,744.87

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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.