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Finding the Fourth Proportional to 2,383.82, 3,576.23 and 1,949.05

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Solution

The fourth proportional to 2,383.82, 3,576.23 and 1,949.05 is: 2,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.82 : 3,576.23 = 1,949.05 : x
  2. Step 2: Convert to fraction form
    2,383.82/3,576.23 = 1,949.05/x
  3. Step 3: Cross multiply
    2,383.82x = 3,576.23 × 1,949.05
  4. Step 4: Simplify right side
    2,383.82x = 6,970,251.08
  5. Step 5: Solve for x
    x = 6,970,251.08/2,383.82
  6. Step 6: Final answer
    x = 2,923.98

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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.