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Finding the Fourth Proportional to 2,192.37, 3,289.07 and 711.54

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Solution

The fourth proportional to 2,192.37, 3,289.07 and 711.54 is: 1,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.37 : 3,289.07 = 711.54 : x
  2. Step 2: Convert to fraction form
    2,192.37/3,289.07 = 711.54/x
  3. Step 3: Cross multiply
    2,192.37x = 3,289.07 × 711.54
  4. Step 4: Simplify right side
    2,192.37x = 2,340,304.87
  5. Step 5: Solve for x
    x = 2,340,304.87/2,192.37
  6. Step 6: Final answer
    x = 1,067.48

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1.5x scale

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.