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Finding the Fourth Proportional to 2,767.82, 4,151.72 and 820.17

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Solution

The fourth proportional to 2,767.82, 4,151.72 and 820.17 is: 1,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.82 : 4,151.72 = 820.17 : x
  2. Step 2: Convert to fraction form
    2,767.82/4,151.72 = 820.17/x
  3. Step 3: Cross multiply
    2,767.82x = 4,151.72 × 820.17
  4. Step 4: Simplify right side
    2,767.82x = 3,405,112.09
  5. Step 5: Solve for x
    x = 3,405,112.09/2,767.82
  6. Step 6: Final answer
    x = 1,230.25

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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.