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Finding the Fourth Proportional to 2,021.96, 2,790.22 and 1,182.68

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Solution

The fourth proportional to 2,021.96, 2,790.22 and 1,182.68 is: 1,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.96 : 2,790.22 = 1,182.68 : x
  2. Step 2: Convert to fraction form
    2,021.96/2,790.22 = 1,182.68/x
  3. Step 3: Cross multiply
    2,021.96x = 2,790.22 × 1,182.68
  4. Step 4: Simplify right side
    2,021.96x = 3,299,937.39
  5. Step 5: Solve for x
    x = 3,299,937.39/2,021.96
  6. Step 6: Final answer
    x = 1,632.05

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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.