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Finding the Fourth Proportional to 2,315.87, 3,193.11 and 1,608.32

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Solution

The fourth proportional to 2,315.87, 3,193.11 and 1,608.32 is: 2,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.87 : 3,193.11 = 1,608.32 : x
  2. Step 2: Convert to fraction form
    2,315.87/3,193.11 = 1,608.32/x
  3. Step 3: Cross multiply
    2,315.87x = 3,193.11 × 1,608.32
  4. Step 4: Simplify right side
    2,315.87x = 5,135,542.68
  5. Step 5: Solve for x
    x = 5,135,542.68/2,315.87
  6. Step 6: Final answer
    x = 2,217.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.