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Finding the Fourth Proportional to 2,021.92, 2,790.92 and 1,182.96

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Solution

The fourth proportional to 2,021.92, 2,790.92 and 1,182.96 is: 1,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.92 : 2,790.92 = 1,182.96 : x
  2. Step 2: Convert to fraction form
    2,021.92/2,790.92 = 1,182.96/x
  3. Step 3: Cross multiply
    2,021.92x = 2,790.92 × 1,182.96
  4. Step 4: Simplify right side
    2,021.92x = 3,301,546.72
  5. Step 5: Solve for x
    x = 3,301,546.72/2,021.92
  6. Step 6: Final answer
    x = 1,632.88

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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.