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Finding the Fourth Proportional to 2,351.88, 3,527.87 and 791.60

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Solution

The fourth proportional to 2,351.88, 3,527.87 and 791.60 is: 1,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.88 : 3,527.87 = 791.60 : x
  2. Step 2: Convert to fraction form
    2,351.88/3,527.87 = 791.60/x
  3. Step 3: Cross multiply
    2,351.88x = 3,527.87 × 791.60
  4. Step 4: Simplify right side
    2,351.88x = 2,792,640.29
  5. Step 5: Solve for x
    x = 2,792,640.29/2,351.88
  6. Step 6: Final answer
    x = 1,187.41

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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.