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Finding the Fourth Proportional to 2,115.82, 3,173.81 and 729.15

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Solution

The fourth proportional to 2,115.82, 3,173.81 and 729.15 is: 1,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.82 : 3,173.81 = 729.15 : x
  2. Step 2: Convert to fraction form
    2,115.82/3,173.81 = 729.15/x
  3. Step 3: Cross multiply
    2,115.82x = 3,173.81 × 729.15
  4. Step 4: Simplify right side
    2,115.82x = 2,314,183.56
  5. Step 5: Solve for x
    x = 2,314,183.56/2,115.82
  6. Step 6: Final answer
    x = 1,093.75

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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.