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Finding the Fourth Proportional to 2,741.05, 4,112.01 and 892.02

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Solution

The fourth proportional to 2,741.05, 4,112.01 and 892.02 is: 1,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.05 : 4,112.01 = 892.02 : x
  2. Step 2: Convert to fraction form
    2,741.05/4,112.01 = 892.02/x
  3. Step 3: Cross multiply
    2,741.05x = 4,112.01 × 892.02
  4. Step 4: Simplify right side
    2,741.05x = 3,667,995.16
  5. Step 5: Solve for x
    x = 3,667,995.16/2,741.05
  6. Step 6: Final answer
    x = 1,338.17

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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.