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Finding the Fourth Proportional to 2,163.64, 3,249.37 and 1,989.99

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Solution

The fourth proportional to 2,163.64, 3,249.37 and 1,989.99 is: 2,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.64 : 3,249.37 = 1,989.99 : x
  2. Step 2: Convert to fraction form
    2,163.64/3,249.37 = 1,989.99/x
  3. Step 3: Cross multiply
    2,163.64x = 3,249.37 × 1,989.99
  4. Step 4: Simplify right side
    2,163.64x = 6,466,213.81
  5. Step 5: Solve for x
    x = 6,466,213.81/2,163.64
  6. Step 6: Final answer
    x = 2,988.58

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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.