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Finding the Fourth Proportional to 2,122.53, 3,183.72 and 661.69

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Solution

The fourth proportional to 2,122.53, 3,183.72 and 661.69 is: 992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.53 : 3,183.72 = 661.69 : x
  2. Step 2: Convert to fraction form
    2,122.53/3,183.72 = 661.69/x
  3. Step 3: Cross multiply
    2,122.53x = 3,183.72 × 661.69
  4. Step 4: Simplify right side
    2,122.53x = 2,106,635.69
  5. Step 5: Solve for x
    x = 2,106,635.69/2,122.53
  6. Step 6: Final answer
    x = 992.51

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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.