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Finding the Fourth Proportional to 2,576.07, 3,863.45 and 727.08

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Solution

The fourth proportional to 2,576.07, 3,863.45 and 727.08 is: 1,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.07 : 3,863.45 = 727.08 : x
  2. Step 2: Convert to fraction form
    2,576.07/3,863.45 = 727.08/x
  3. Step 3: Cross multiply
    2,576.07x = 3,863.45 × 727.08
  4. Step 4: Simplify right side
    2,576.07x = 2,809,033.59
  5. Step 5: Solve for x
    x = 2,809,033.59/2,576.07
  6. Step 6: Final answer
    x = 1,090.43

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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.