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Finding the Fourth Proportional to 1,991.50, 2,748.27 and 1,163.50

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Solution

The fourth proportional to 1,991.50, 2,748.27 and 1,163.50 is: 1,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.50 : 2,748.27 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    1,991.50/2,748.27 = 1,163.50/x
  3. Step 3: Cross multiply
    1,991.50x = 2,748.27 × 1,163.50
  4. Step 4: Simplify right side
    1,991.50x = 3,197,612.15
  5. Step 5: Solve for x
    x = 3,197,612.15/1,991.50
  6. Step 6: Final answer
    x = 1,605.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.