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Finding the Fourth Proportional to 1,628.91, 2,247.08 and 1,163.43

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Solution

The fourth proportional to 1,628.91, 2,247.08 and 1,163.43 is: 1,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.91 : 2,247.08 = 1,163.43 : x
  2. Step 2: Convert to fraction form
    1,628.91/2,247.08 = 1,163.43/x
  3. Step 3: Cross multiply
    1,628.91x = 2,247.08 × 1,163.43
  4. Step 4: Simplify right side
    1,628.91x = 2,614,314.47
  5. Step 5: Solve for x
    x = 2,614,314.47/1,628.91
  6. Step 6: Final answer
    x = 1,604.95

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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.