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Finding the Fourth Proportional to 2,576.00, 3,864.07 and 727.31

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Solution

The fourth proportional to 2,576.00, 3,864.07 and 727.31 is: 1,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.00 : 3,864.07 = 727.31 : x
  2. Step 2: Convert to fraction form
    2,576.00/3,864.07 = 727.31/x
  3. Step 3: Cross multiply
    2,576.00x = 3,864.07 × 727.31
  4. Step 4: Simplify right side
    2,576.00x = 2,810,387.32
  5. Step 5: Solve for x
    x = 2,810,387.32/2,576.00
  6. Step 6: Final answer
    x = 1,090.99

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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.