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Finding the Fourth Proportional to 1,729.96, 2,593.26 and 755.32

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Solution

The fourth proportional to 1,729.96, 2,593.26 and 755.32 is: 1,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.96 : 2,593.26 = 755.32 : x
  2. Step 2: Convert to fraction form
    1,729.96/2,593.26 = 755.32/x
  3. Step 3: Cross multiply
    1,729.96x = 2,593.26 × 755.32
  4. Step 4: Simplify right side
    1,729.96x = 1,958,741.14
  5. Step 5: Solve for x
    x = 1,958,741.14/1,729.96
  6. Step 6: Final answer
    x = 1,132.25

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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.