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Finding the Fourth Proportional to 2,576.62, 3,864.92 and 1,037.26

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Solution

The fourth proportional to 2,576.62, 3,864.92 and 1,037.26 is: 1,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.62 : 3,864.92 = 1,037.26 : x
  2. Step 2: Convert to fraction form
    2,576.62/3,864.92 = 1,037.26/x
  3. Step 3: Cross multiply
    2,576.62x = 3,864.92 × 1,037.26
  4. Step 4: Simplify right side
    2,576.62x = 4,008,926.92
  5. Step 5: Solve for x
    x = 4,008,926.92/2,576.62
  6. Step 6: Final answer
    x = 1,555.89

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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.