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Finding the Fourth Proportional to 2,767.76, 4,151.74 and 820.11

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Solution

The fourth proportional to 2,767.76, 4,151.74 and 820.11 is: 1,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.76 : 4,151.74 = 820.11 : x
  2. Step 2: Convert to fraction form
    2,767.76/4,151.74 = 820.11/x
  3. Step 3: Cross multiply
    2,767.76x = 4,151.74 × 820.11
  4. Step 4: Simplify right side
    2,767.76x = 3,404,883.49
  5. Step 5: Solve for x
    x = 3,404,883.49/2,767.76
  6. Step 6: Final answer
    x = 1,230.19

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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.