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Finding the Fourth Proportional to 2,576.02, 3,862.75 and 820.79

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Solution

The fourth proportional to 2,576.02, 3,862.75 and 820.79 is: 1,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.02 : 3,862.75 = 820.79 : x
  2. Step 2: Convert to fraction form
    2,576.02/3,862.75 = 820.79/x
  3. Step 3: Cross multiply
    2,576.02x = 3,862.75 × 820.79
  4. Step 4: Simplify right side
    2,576.02x = 3,170,502.47
  5. Step 5: Solve for x
    x = 3,170,502.47/2,576.02
  6. Step 6: Final answer
    x = 1,230.78

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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.