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Finding the Fourth Proportional to 2,383.02, 3,571.89 and 920.97

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Solution

The fourth proportional to 2,383.02, 3,571.89 and 920.97 is: 1,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.02 : 3,571.89 = 920.97 : x
  2. Step 2: Convert to fraction form
    2,383.02/3,571.89 = 920.97/x
  3. Step 3: Cross multiply
    2,383.02x = 3,571.89 × 920.97
  4. Step 4: Simplify right side
    2,383.02x = 3,289,603.53
  5. Step 5: Solve for x
    x = 3,289,603.53/2,383.02
  6. Step 6: Final answer
    x = 1,380.43

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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.