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Finding the Fourth Proportional to 3,640.81, 5,024.31 and 1,984.81

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Solution

The fourth proportional to 3,640.81, 5,024.31 and 1,984.81 is: 2,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.81 : 5,024.31 = 1,984.81 : x
  2. Step 2: Convert to fraction form
    3,640.81/5,024.31 = 1,984.81/x
  3. Step 3: Cross multiply
    3,640.81x = 5,024.31 × 1,984.81
  4. Step 4: Simplify right side
    3,640.81x = 9,972,300.73
  5. Step 5: Solve for x
    x = 9,972,300.73/3,640.81
  6. Step 6: Final answer
    x = 2,739.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.