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Finding the Fourth Proportional to 3,441.53, 5,163.31 and 1,688.49

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Solution

The fourth proportional to 3,441.53, 5,163.31 and 1,688.49 is: 2,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.53 : 5,163.31 = 1,688.49 : x
  2. Step 2: Convert to fraction form
    3,441.53/5,163.31 = 1,688.49/x
  3. Step 3: Cross multiply
    3,441.53x = 5,163.31 × 1,688.49
  4. Step 4: Simplify right side
    3,441.53x = 8,718,197.30
  5. Step 5: Solve for x
    x = 8,718,197.30/3,441.53
  6. Step 6: Final answer
    x = 2,533.23

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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.