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Finding the Fourth Proportional to 2,183.61, 3,275.46 and 797.98

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Solution

The fourth proportional to 2,183.61, 3,275.46 and 797.98 is: 1,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.61 : 3,275.46 = 797.98 : x
  2. Step 2: Convert to fraction form
    2,183.61/3,275.46 = 797.98/x
  3. Step 3: Cross multiply
    2,183.61x = 3,275.46 × 797.98
  4. Step 4: Simplify right side
    2,183.61x = 2,613,755.67
  5. Step 5: Solve for x
    x = 2,613,755.67/2,183.61
  6. Step 6: Final answer
    x = 1,196.99

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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.