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Finding the Fourth Proportional to 2,517.96, 3,776.40 and 1,268.20

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Solution

The fourth proportional to 2,517.96, 3,776.40 and 1,268.20 is: 1,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.96 : 3,776.40 = 1,268.20 : x
  2. Step 2: Convert to fraction form
    2,517.96/3,776.40 = 1,268.20/x
  3. Step 3: Cross multiply
    2,517.96x = 3,776.40 × 1,268.20
  4. Step 4: Simplify right side
    2,517.96x = 4,789,230.48
  5. Step 5: Solve for x
    x = 4,789,230.48/2,517.96
  6. Step 6: Final answer
    x = 1,902.03

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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.