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Finding the Fourth Proportional to 3,166.29, 4,744.80 and 1,993.50

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Solution

The fourth proportional to 3,166.29, 4,744.80 and 1,993.50 is: 2,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.29 : 4,744.80 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    3,166.29/4,744.80 = 1,993.50/x
  3. Step 3: Cross multiply
    3,166.29x = 4,744.80 × 1,993.50
  4. Step 4: Simplify right side
    3,166.29x = 9,458,758.80
  5. Step 5: Solve for x
    x = 9,458,758.80/3,166.29
  6. Step 6: Final answer
    x = 2,987.33

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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.