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Finding the Fourth Proportional to 2,987.42, 4,480.82 and 796.37

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Solution

The fourth proportional to 2,987.42, 4,480.82 and 796.37 is: 1,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.42 : 4,480.82 = 796.37 : x
  2. Step 2: Convert to fraction form
    2,987.42/4,480.82 = 796.37/x
  3. Step 3: Cross multiply
    2,987.42x = 4,480.82 × 796.37
  4. Step 4: Simplify right side
    2,987.42x = 3,568,367.22
  5. Step 5: Solve for x
    x = 3,568,367.22/2,987.42
  6. Step 6: Final answer
    x = 1,194.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.