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Finding the Fourth Proportional to 2,855.20, 3,939.60 and 1,969.60

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Solution

The fourth proportional to 2,855.20, 3,939.60 and 1,969.60 is: 2,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.20 : 3,939.60 = 1,969.60 : x
  2. Step 2: Convert to fraction form
    2,855.20/3,939.60 = 1,969.60/x
  3. Step 3: Cross multiply
    2,855.20x = 3,939.60 × 1,969.60
  4. Step 4: Simplify right side
    2,855.20x = 7,759,436.16
  5. Step 5: Solve for x
    x = 7,759,436.16/2,855.20
  6. Step 6: Final answer
    x = 2,717.65

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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.