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Finding the Fourth Proportional to 2,576.91, 3,855.80 and 1,537.48

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Solution

The fourth proportional to 2,576.91, 3,855.80 and 1,537.48 is: 2,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.91 : 3,855.80 = 1,537.48 : x
  2. Step 2: Convert to fraction form
    2,576.91/3,855.80 = 1,537.48/x
  3. Step 3: Cross multiply
    2,576.91x = 3,855.80 × 1,537.48
  4. Step 4: Simplify right side
    2,576.91x = 5,928,224.05
  5. Step 5: Solve for x
    x = 5,928,224.05/2,576.91
  6. Step 6: Final answer
    x = 2,300.51

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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.