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Finding the Fourth Proportional to 2,982.54, 4,474.02 and 791.25

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Solution

The fourth proportional to 2,982.54, 4,474.02 and 791.25 is: 1,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.54 : 4,474.02 = 791.25 : x
  2. Step 2: Convert to fraction form
    2,982.54/4,474.02 = 791.25/x
  3. Step 3: Cross multiply
    2,982.54x = 4,474.02 × 791.25
  4. Step 4: Simplify right side
    2,982.54x = 3,540,068.33
  5. Step 5: Solve for x
    x = 3,540,068.33/2,982.54
  6. Step 6: Final answer
    x = 1,186.93

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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.