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Finding the Fourth Proportional to 3,151.93, 4,727.53 and 843.61

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Solution

The fourth proportional to 3,151.93, 4,727.53 and 843.61 is: 1,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.93 : 4,727.53 = 843.61 : x
  2. Step 2: Convert to fraction form
    3,151.93/4,727.53 = 843.61/x
  3. Step 3: Cross multiply
    3,151.93x = 4,727.53 × 843.61
  4. Step 4: Simplify right side
    3,151.93x = 3,988,191.58
  5. Step 5: Solve for x
    x = 3,988,191.58/3,151.93
  6. Step 6: Final answer
    x = 1,265.32

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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.