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Finding the Fourth Proportional to 2,993.06, 4,132.14 and 2,001.62

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Solution

The fourth proportional to 2,993.06, 4,132.14 and 2,001.62 is: 2,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.06 : 4,132.14 = 2,001.62 : x
  2. Step 2: Convert to fraction form
    2,993.06/4,132.14 = 2,001.62/x
  3. Step 3: Cross multiply
    2,993.06x = 4,132.14 × 2,001.62
  4. Step 4: Simplify right side
    2,993.06x = 8,270,974.07
  5. Step 5: Solve for x
    x = 8,270,974.07/2,993.06
  6. Step 6: Final answer
    x = 2,763.38

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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.