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Finding the Fourth Proportional to 2,778.80, 4,173.96 and 2,205.68

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Solution

The fourth proportional to 2,778.80, 4,173.96 and 2,205.68 is: 3,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.80 : 4,173.96 = 2,205.68 : x
  2. Step 2: Convert to fraction form
    2,778.80/4,173.96 = 2,205.68/x
  3. Step 3: Cross multiply
    2,778.80x = 4,173.96 × 2,205.68
  4. Step 4: Simplify right side
    2,778.80x = 9,206,420.09
  5. Step 5: Solve for x
    x = 9,206,420.09/2,778.80
  6. Step 6: Final answer
    x = 3,313.09

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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.