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Finding the Fourth Proportional to 1,729.78, 2,593.23 and 1,208.28

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Solution

The fourth proportional to 1,729.78, 2,593.23 and 1,208.28 is: 1,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.78 : 2,593.23 = 1,208.28 : x
  2. Step 2: Convert to fraction form
    1,729.78/2,593.23 = 1,208.28/x
  3. Step 3: Cross multiply
    1,729.78x = 2,593.23 × 1,208.28
  4. Step 4: Simplify right side
    1,729.78x = 3,133,347.94
  5. Step 5: Solve for x
    x = 3,133,347.94/1,729.78
  6. Step 6: Final answer
    x = 1,811.41

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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.