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Finding the Fourth Proportional to 3,194.34, 4,791.50 and 1,003.23

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Solution

The fourth proportional to 3,194.34, 4,791.50 and 1,003.23 is: 1,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.34 : 4,791.50 = 1,003.23 : x
  2. Step 2: Convert to fraction form
    3,194.34/4,791.50 = 1,003.23/x
  3. Step 3: Cross multiply
    3,194.34x = 4,791.50 × 1,003.23
  4. Step 4: Simplify right side
    3,194.34x = 4,806,971.53
  5. Step 5: Solve for x
    x = 4,806,971.53/3,194.34
  6. Step 6: Final answer
    x = 1,504.84

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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.