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Finding the Fourth Proportional to 3,151.98, 4,727.94 and 843.48

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Solution

The fourth proportional to 3,151.98, 4,727.94 and 843.48 is: 1,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.98 : 4,727.94 = 843.48 : x
  2. Step 2: Convert to fraction form
    3,151.98/4,727.94 = 843.48/x
  3. Step 3: Cross multiply
    3,151.98x = 4,727.94 × 843.48
  4. Step 4: Simplify right side
    3,151.98x = 3,987,922.83
  5. Step 5: Solve for x
    x = 3,987,922.83/3,151.98
  6. Step 6: Final answer
    x = 1,265.21

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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.