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Finding the Fourth Proportional to 2,741.56, 4,112.81 and 892.15

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Solution

The fourth proportional to 2,741.56, 4,112.81 and 892.15 is: 1,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.56 : 4,112.81 = 892.15 : x
  2. Step 2: Convert to fraction form
    2,741.56/4,112.81 = 892.15/x
  3. Step 3: Cross multiply
    2,741.56x = 4,112.81 × 892.15
  4. Step 4: Simplify right side
    2,741.56x = 3,669,243.44
  5. Step 5: Solve for x
    x = 3,669,243.44/2,741.56
  6. Step 6: Final answer
    x = 1,338.38

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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.