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Finding the Fourth Proportional to 2,262.88, 3,391.22 and 1,164.92

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Solution

The fourth proportional to 2,262.88, 3,391.22 and 1,164.92 is: 1,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.88 : 3,391.22 = 1,164.92 : x
  2. Step 2: Convert to fraction form
    2,262.88/3,391.22 = 1,164.92/x
  3. Step 3: Cross multiply
    2,262.88x = 3,391.22 × 1,164.92
  4. Step 4: Simplify right side
    2,262.88x = 3,950,500.00
  5. Step 5: Solve for x
    x = 3,950,500.00/2,262.88
  6. Step 6: Final answer
    x = 1,745.78

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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.