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Finding the Fourth Proportional to 3,200.80, 4,412.72 and 2,021.28

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Solution

The fourth proportional to 3,200.80, 4,412.72 and 2,021.28 is: 2,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.80 : 4,412.72 = 2,021.28 : x
  2. Step 2: Convert to fraction form
    3,200.80/4,412.72 = 2,021.28/x
  3. Step 3: Cross multiply
    3,200.80x = 4,412.72 × 2,021.28
  4. Step 4: Simplify right side
    3,200.80x = 8,919,342.68
  5. Step 5: Solve for x
    x = 8,919,342.68/3,200.80
  6. Step 6: Final answer
    x = 2,786.60

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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.