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Finding the Fourth Proportional to 2,679.20, 4,022.84 and 2,187.80

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Solution

The fourth proportional to 2,679.20, 4,022.84 and 2,187.80 is: 3,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.20 : 4,022.84 = 2,187.80 : x
  2. Step 2: Convert to fraction form
    2,679.20/4,022.84 = 2,187.80/x
  3. Step 3: Cross multiply
    2,679.20x = 4,022.84 × 2,187.80
  4. Step 4: Simplify right side
    2,679.20x = 8,801,169.35
  5. Step 5: Solve for x
    x = 8,801,169.35/2,679.20
  6. Step 6: Final answer
    x = 3,285.00

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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.