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Finding the Fourth Proportional to 2,536.12, 3,806.19 and 1,149.55

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Solution

The fourth proportional to 2,536.12, 3,806.19 and 1,149.55 is: 1,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.12 : 3,806.19 = 1,149.55 : x
  2. Step 2: Convert to fraction form
    2,536.12/3,806.19 = 1,149.55/x
  3. Step 3: Cross multiply
    2,536.12x = 3,806.19 × 1,149.55
  4. Step 4: Simplify right side
    2,536.12x = 4,375,405.71
  5. Step 5: Solve for x
    x = 4,375,405.71/2,536.12
  6. Step 6: Final answer
    x = 1,725.24

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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.