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Finding the Fourth Proportional to 2,573.31, 3,860.34 and 817.73

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Solution

The fourth proportional to 2,573.31, 3,860.34 and 817.73 is: 1,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.31 : 3,860.34 = 817.73 : x
  2. Step 2: Convert to fraction form
    2,573.31/3,860.34 = 817.73/x
  3. Step 3: Cross multiply
    2,573.31x = 3,860.34 × 817.73
  4. Step 4: Simplify right side
    2,573.31x = 3,156,715.83
  5. Step 5: Solve for x
    x = 3,156,715.83/2,573.31
  6. Step 6: Final answer
    x = 1,226.71

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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.