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Finding the Fourth Proportional to 3,194.25, 4,791.38 and 885.75

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Solution

The fourth proportional to 3,194.25, 4,791.38 and 885.75 is: 1,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.25 : 4,791.38 = 885.75 : x
  2. Step 2: Convert to fraction form
    3,194.25/4,791.38 = 885.75/x
  3. Step 3: Cross multiply
    3,194.25x = 4,791.38 × 885.75
  4. Step 4: Simplify right side
    3,194.25x = 4,243,964.84
  5. Step 5: Solve for x
    x = 4,243,964.84/3,194.25
  6. Step 6: Final answer
    x = 1,328.63

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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.