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Finding the Fourth Proportional to 2,993.25, 4,489.46 and 801.99

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Solution

The fourth proportional to 2,993.25, 4,489.46 and 801.99 is: 1,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.25 : 4,489.46 = 801.99 : x
  2. Step 2: Convert to fraction form
    2,993.25/4,489.46 = 801.99/x
  3. Step 3: Cross multiply
    2,993.25x = 4,489.46 × 801.99
  4. Step 4: Simplify right side
    2,993.25x = 3,600,515.25
  5. Step 5: Solve for x
    x = 3,600,515.25/2,993.25
  6. Step 6: Final answer
    x = 1,202.88

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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.