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Finding the Fourth Proportional to 2,121.82, 3,182.64 and 823.21

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Solution

The fourth proportional to 2,121.82, 3,182.64 and 823.21 is: 1,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.82 : 3,182.64 = 823.21 : x
  2. Step 2: Convert to fraction form
    2,121.82/3,182.64 = 823.21/x
  3. Step 3: Cross multiply
    2,121.82x = 3,182.64 × 823.21
  4. Step 4: Simplify right side
    2,121.82x = 2,619,981.07
  5. Step 5: Solve for x
    x = 2,619,981.07/2,121.82
  6. Step 6: Final answer
    x = 1,234.78

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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.