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Finding the Fourth Proportional to 1,571.27, 2,366.03 and 1,163.30

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Solution

The fourth proportional to 1,571.27, 2,366.03 and 1,163.30 is: 1,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.27 : 2,366.03 = 1,163.30 : x
  2. Step 2: Convert to fraction form
    1,571.27/2,366.03 = 1,163.30/x
  3. Step 3: Cross multiply
    1,571.27x = 2,366.03 × 1,163.30
  4. Step 4: Simplify right side
    1,571.27x = 2,752,393.78
  5. Step 5: Solve for x
    x = 2,752,393.78/1,571.27
  6. Step 6: Final answer
    x = 1,751.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.