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Finding the Fourth Proportional to 2,020.78, 3,027.12 and 923.64

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Solution

The fourth proportional to 2,020.78, 3,027.12 and 923.64 is: 1,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.78 : 3,027.12 = 923.64 : x
  2. Step 2: Convert to fraction form
    2,020.78/3,027.12 = 923.64/x
  3. Step 3: Cross multiply
    2,020.78x = 3,027.12 × 923.64
  4. Step 4: Simplify right side
    2,020.78x = 2,795,969.12
  5. Step 5: Solve for x
    x = 2,795,969.12/2,020.78
  6. Step 6: Final answer
    x = 1,383.61

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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.