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Finding the Fourth Proportional to 2,576.90, 3,865.36 and 1,481.78

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Solution

The fourth proportional to 2,576.90, 3,865.36 and 1,481.78 is: 2,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.90 : 3,865.36 = 1,481.78 : x
  2. Step 2: Convert to fraction form
    2,576.90/3,865.36 = 1,481.78/x
  3. Step 3: Cross multiply
    2,576.90x = 3,865.36 × 1,481.78
  4. Step 4: Simplify right side
    2,576.90x = 5,727,613.14
  5. Step 5: Solve for x
    x = 5,727,613.14/2,576.90
  6. Step 6: Final answer
    x = 2,222.68

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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.