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Finding the Fourth Proportional to 2,993.00, 4,489.09 and 801.74

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Solution

The fourth proportional to 2,993.00, 4,489.09 and 801.74 is: 1,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.00 : 4,489.09 = 801.74 : x
  2. Step 2: Convert to fraction form
    2,993.00/4,489.09 = 801.74/x
  3. Step 3: Cross multiply
    2,993.00x = 4,489.09 × 801.74
  4. Step 4: Simplify right side
    2,993.00x = 3,599,092.23
  5. Step 5: Solve for x
    x = 3,599,092.23/2,993.00
  6. Step 6: Final answer
    x = 1,202.51

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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.