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Finding the Fourth Proportional to 2,538.72, 3,796.56 and 2,268.72

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Solution

The fourth proportional to 2,538.72, 3,796.56 and 2,268.72 is: 3,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.72 : 3,796.56 = 2,268.72 : x
  2. Step 2: Convert to fraction form
    2,538.72/3,796.56 = 2,268.72/x
  3. Step 3: Cross multiply
    2,538.72x = 3,796.56 × 2,268.72
  4. Step 4: Simplify right side
    2,538.72x = 8,613,331.60
  5. Step 5: Solve for x
    x = 8,613,331.60/2,538.72
  6. Step 6: Final answer
    x = 3,392.79

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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.