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Finding the Fourth Proportional to 1,729.60, 2,593.49 and 754.56

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Solution

The fourth proportional to 1,729.60, 2,593.49 and 754.56 is: 1,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.60 : 2,593.49 = 754.56 : x
  2. Step 2: Convert to fraction form
    1,729.60/2,593.49 = 754.56/x
  3. Step 3: Cross multiply
    1,729.60x = 2,593.49 × 754.56
  4. Step 4: Simplify right side
    1,729.60x = 1,956,940.04
  5. Step 5: Solve for x
    x = 1,956,940.04/1,729.60
  6. Step 6: Final answer
    x = 1,131.44

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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.