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Finding the Fourth Proportional to 3,185.49, 4,770.81 and 2,449.20

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Solution

The fourth proportional to 3,185.49, 4,770.81 and 2,449.20 is: 3,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.49 : 4,770.81 = 2,449.20 : x
  2. Step 2: Convert to fraction form
    3,185.49/4,770.81 = 2,449.20/x
  3. Step 3: Cross multiply
    3,185.49x = 4,770.81 × 2,449.20
  4. Step 4: Simplify right side
    3,185.49x = 11,684,667.85
  5. Step 5: Solve for x
    x = 11,684,667.85/3,185.49
  6. Step 6: Final answer
    x = 3,668.09

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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.