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Finding the Fourth Proportional to 1,571.62, 2,357.28 and 791.31

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Solution

The fourth proportional to 1,571.62, 2,357.28 and 791.31 is: 1,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.62 : 2,357.28 = 791.31 : x
  2. Step 2: Convert to fraction form
    1,571.62/2,357.28 = 791.31/x
  3. Step 3: Cross multiply
    1,571.62x = 2,357.28 × 791.31
  4. Step 4: Simplify right side
    1,571.62x = 1,865,336.27
  5. Step 5: Solve for x
    x = 1,865,336.27/1,571.62
  6. Step 6: Final answer
    x = 1,186.89

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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.