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Finding the Fourth Proportional to 2,993.14, 4,134.24 and 2,112.88

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Solution

The fourth proportional to 2,993.14, 4,134.24 and 2,112.88 is: 2,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.14 : 4,134.24 = 2,112.88 : x
  2. Step 2: Convert to fraction form
    2,993.14/4,134.24 = 2,112.88/x
  3. Step 3: Cross multiply
    2,993.14x = 4,134.24 × 2,112.88
  4. Step 4: Simplify right side
    2,993.14x = 8,735,121.78
  5. Step 5: Solve for x
    x = 8,735,121.78/2,993.14
  6. Step 6: Final answer
    x = 2,918.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.