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Finding the Fourth Proportional to 1,738.00, 2,397.54 and 1,163.27

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Solution

The fourth proportional to 1,738.00, 2,397.54 and 1,163.27 is: 1,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.00 : 2,397.54 = 1,163.27 : x
  2. Step 2: Convert to fraction form
    1,738.00/2,397.54 = 1,163.27/x
  3. Step 3: Cross multiply
    1,738.00x = 2,397.54 × 1,163.27
  4. Step 4: Simplify right side
    1,738.00x = 2,788,986.36
  5. Step 5: Solve for x
    x = 2,788,986.36/1,738.00
  6. Step 6: Final answer
    x = 1,604.71

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Why These Related Problems?

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