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Finding the Fourth Proportional to 2,537.25, 3,806.07 and 805.89

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Solution

The fourth proportional to 2,537.25, 3,806.07 and 805.89 is: 1,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.25 : 3,806.07 = 805.89 : x
  2. Step 2: Convert to fraction form
    2,537.25/3,806.07 = 805.89/x
  3. Step 3: Cross multiply
    2,537.25x = 3,806.07 × 805.89
  4. Step 4: Simplify right side
    2,537.25x = 3,067,273.75
  5. Step 5: Solve for x
    x = 3,067,273.75/2,537.25
  6. Step 6: Final answer
    x = 1,208.90

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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.