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Finding the Fourth Proportional to 2,183.76, 3,275.75 and 797.07

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Solution

The fourth proportional to 2,183.76, 3,275.75 and 797.07 is: 1,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.76 : 3,275.75 = 797.07 : x
  2. Step 2: Convert to fraction form
    2,183.76/3,275.75 = 797.07/x
  3. Step 3: Cross multiply
    2,183.76x = 3,275.75 × 797.07
  4. Step 4: Simplify right side
    2,183.76x = 2,611,002.05
  5. Step 5: Solve for x
    x = 2,611,002.05/2,183.76
  6. Step 6: Final answer
    x = 1,195.65

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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.