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Finding the Fourth Proportional to 3,194.43, 4,791.80 and 1,003.17

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Solution

The fourth proportional to 3,194.43, 4,791.80 and 1,003.17 is: 1,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.43 : 4,791.80 = 1,003.17 : x
  2. Step 2: Convert to fraction form
    3,194.43/4,791.80 = 1,003.17/x
  3. Step 3: Cross multiply
    3,194.43x = 4,791.80 × 1,003.17
  4. Step 4: Simplify right side
    3,194.43x = 4,807,006.72
  5. Step 5: Solve for x
    x = 4,807,006.72/3,194.43
  6. Step 6: Final answer
    x = 1,504.81

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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.