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Finding the Fourth Proportional to 2,163.36, 3,244.02 and 993.04

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Solution

The fourth proportional to 2,163.36, 3,244.02 and 993.04 is: 1,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.36 : 3,244.02 = 993.04 : x
  2. Step 2: Convert to fraction form
    2,163.36/3,244.02 = 993.04/x
  3. Step 3: Cross multiply
    2,163.36x = 3,244.02 × 993.04
  4. Step 4: Simplify right side
    2,163.36x = 3,221,441.62
  5. Step 5: Solve for x
    x = 3,221,441.62/2,163.36
  6. Step 6: Final answer
    x = 1,489.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.