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Finding the Fourth Proportional to 2,481.81, 3,724.51 and 922.03

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Solution

The fourth proportional to 2,481.81, 3,724.51 and 922.03 is: 1,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.81 : 3,724.51 = 922.03 : x
  2. Step 2: Convert to fraction form
    2,481.81/3,724.51 = 922.03/x
  3. Step 3: Cross multiply
    2,481.81x = 3,724.51 × 922.03
  4. Step 4: Simplify right side
    2,481.81x = 3,434,109.96
  5. Step 5: Solve for x
    x = 3,434,109.96/2,481.81
  6. Step 6: Final answer
    x = 1,383.71

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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.