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Finding the Fourth Proportional to 2,021.92, 3,033.12 and 1,512.16

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Solution

The fourth proportional to 2,021.92, 3,033.12 and 1,512.16 is: 2,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.92 : 3,033.12 = 1,512.16 : x
  2. Step 2: Convert to fraction form
    2,021.92/3,033.12 = 1,512.16/x
  3. Step 3: Cross multiply
    2,021.92x = 3,033.12 × 1,512.16
  4. Step 4: Simplify right side
    2,021.92x = 4,586,562.74
  5. Step 5: Solve for x
    x = 4,586,562.74/2,021.92
  6. Step 6: Final answer
    x = 2,268.42

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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.