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Finding the Fourth Proportional to 2,122.77, 3,183.09 and 889.86

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Solution

The fourth proportional to 2,122.77, 3,183.09 and 889.86 is: 1,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.77 : 3,183.09 = 889.86 : x
  2. Step 2: Convert to fraction form
    2,122.77/3,183.09 = 889.86/x
  3. Step 3: Cross multiply
    2,122.77x = 3,183.09 × 889.86
  4. Step 4: Simplify right side
    2,122.77x = 2,832,504.47
  5. Step 5: Solve for x
    x = 2,832,504.47/2,122.77
  6. Step 6: Final answer
    x = 1,334.34

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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.