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Finding the Fourth Proportional to 2,755.09, 4,132.09 and 806.77

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Solution

The fourth proportional to 2,755.09, 4,132.09 and 806.77 is: 1,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.09 : 4,132.09 = 806.77 : x
  2. Step 2: Convert to fraction form
    2,755.09/4,132.09 = 806.77/x
  3. Step 3: Cross multiply
    2,755.09x = 4,132.09 × 806.77
  4. Step 4: Simplify right side
    2,755.09x = 3,333,621.56
  5. Step 5: Solve for x
    x = 3,333,621.56/2,755.09
  6. Step 6: Final answer
    x = 1,209.99

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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.