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Finding the Fourth Proportional to 3,194.43, 4,791.63 and 1,003.32

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Solution

The fourth proportional to 3,194.43, 4,791.63 and 1,003.32 is: 1,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.43 : 4,791.63 = 1,003.32 : x
  2. Step 2: Convert to fraction form
    3,194.43/4,791.63 = 1,003.32/x
  3. Step 3: Cross multiply
    3,194.43x = 4,791.63 × 1,003.32
  4. Step 4: Simplify right side
    3,194.43x = 4,807,538.21
  5. Step 5: Solve for x
    x = 4,807,538.21/3,194.43
  6. Step 6: Final answer
    x = 1,504.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.