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Finding the Fourth Proportional to 2,137.91, 3,191.38 and 1,847.27

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Solution

The fourth proportional to 2,137.91, 3,191.38 and 1,847.27 is: 2,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.91 : 3,191.38 = 1,847.27 : x
  2. Step 2: Convert to fraction form
    2,137.91/3,191.38 = 1,847.27/x
  3. Step 3: Cross multiply
    2,137.91x = 3,191.38 × 1,847.27
  4. Step 4: Simplify right side
    2,137.91x = 5,895,354.28
  5. Step 5: Solve for x
    x = 5,895,354.28/2,137.91
  6. Step 6: Final answer
    x = 2,757.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.