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Finding the Fourth Proportional to 2,168.88, 3,250.54 and 998.61

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Solution

The fourth proportional to 2,168.88, 3,250.54 and 998.61 is: 1,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.88 : 3,250.54 = 998.61 : x
  2. Step 2: Convert to fraction form
    2,168.88/3,250.54 = 998.61/x
  3. Step 3: Cross multiply
    2,168.88x = 3,250.54 × 998.61
  4. Step 4: Simplify right side
    2,168.88x = 3,246,021.75
  5. Step 5: Solve for x
    x = 3,246,021.75/2,168.88
  6. Step 6: Final answer
    x = 1,496.64

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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.