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Finding the Fourth Proportional to 3,194.47, 4,791.76 and 1,003.25

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Solution

The fourth proportional to 3,194.47, 4,791.76 and 1,003.25 is: 1,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.47 : 4,791.76 = 1,003.25 : x
  2. Step 2: Convert to fraction form
    3,194.47/4,791.76 = 1,003.25/x
  3. Step 3: Cross multiply
    3,194.47x = 4,791.76 × 1,003.25
  4. Step 4: Simplify right side
    3,194.47x = 4,807,342.69
  5. Step 5: Solve for x
    x = 4,807,342.69/3,194.47
  6. Step 6: Final answer
    x = 1,504.89

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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.