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Finding the Fourth Proportional to 2,536.64, 3,806.34 and 1,149.87

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Solution

The fourth proportional to 2,536.64, 3,806.34 and 1,149.87 is: 1,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.64 : 3,806.34 = 1,149.87 : x
  2. Step 2: Convert to fraction form
    2,536.64/3,806.34 = 1,149.87/x
  3. Step 3: Cross multiply
    2,536.64x = 3,806.34 × 1,149.87
  4. Step 4: Simplify right side
    2,536.64x = 4,376,801.90
  5. Step 5: Solve for x
    x = 4,376,801.90/2,536.64
  6. Step 6: Final answer
    x = 1,725.43

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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.