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Finding the Fourth Proportional to 2,682.32, 4,022.04 and 1,221.80

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Solution

The fourth proportional to 2,682.32, 4,022.04 and 1,221.80 is: 1,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.32 : 4,022.04 = 1,221.80 : x
  2. Step 2: Convert to fraction form
    2,682.32/4,022.04 = 1,221.80/x
  3. Step 3: Cross multiply
    2,682.32x = 4,022.04 × 1,221.80
  4. Step 4: Simplify right side
    2,682.32x = 4,914,128.47
  5. Step 5: Solve for x
    x = 4,914,128.47/2,682.32
  6. Step 6: Final answer
    x = 1,832.04

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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.