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Finding the Fourth Proportional to 2,122.93, 3,183.85 and 661.33

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Solution

The fourth proportional to 2,122.93, 3,183.85 and 661.33 is: 991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.93 : 3,183.85 = 661.33 : x
  2. Step 2: Convert to fraction form
    2,122.93/3,183.85 = 661.33/x
  3. Step 3: Cross multiply
    2,122.93x = 3,183.85 × 661.33
  4. Step 4: Simplify right side
    2,122.93x = 2,105,565.91
  5. Step 5: Solve for x
    x = 2,105,565.91/2,122.93
  6. Step 6: Final answer
    x = 991.82

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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.