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Finding the Fourth Proportional to 2,561.08, 3,841.20 and 806.14

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Solution

The fourth proportional to 2,561.08, 3,841.20 and 806.14 is: 1,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.08 : 3,841.20 = 806.14 : x
  2. Step 2: Convert to fraction form
    2,561.08/3,841.20 = 806.14/x
  3. Step 3: Cross multiply
    2,561.08x = 3,841.20 × 806.14
  4. Step 4: Simplify right side
    2,561.08x = 3,096,544.97
  5. Step 5: Solve for x
    x = 3,096,544.97/2,561.08
  6. Step 6: Final answer
    x = 1,209.08

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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.