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Finding the Fourth Proportional to 2,724.50, 3,735.25 and 2,675.30

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Solution

The fourth proportional to 2,724.50, 3,735.25 and 2,675.30 is: 3,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.50 : 3,735.25 = 2,675.30 : x
  2. Step 2: Convert to fraction form
    2,724.50/3,735.25 = 2,675.30/x
  3. Step 3: Cross multiply
    2,724.50x = 3,735.25 × 2,675.30
  4. Step 4: Simplify right side
    2,724.50x = 9,992,888.96
  5. Step 5: Solve for x
    x = 9,992,888.96/2,724.50
  6. Step 6: Final answer
    x = 3,667.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.