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Finding the Fourth Proportional to 2,537.24, 3,806.68 and 805.88

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Solution

The fourth proportional to 2,537.24, 3,806.68 and 805.88 is: 1,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.24 : 3,806.68 = 805.88 : x
  2. Step 2: Convert to fraction form
    2,537.24/3,806.68 = 805.88/x
  3. Step 3: Cross multiply
    2,537.24x = 3,806.68 × 805.88
  4. Step 4: Simplify right side
    2,537.24x = 3,067,727.28
  5. Step 5: Solve for x
    x = 3,067,727.28/2,537.24
  6. Step 6: Final answer
    x = 1,209.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.