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Finding the Fourth Proportional to 2,566.31, 3,849.73 and 811.37

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Solution

The fourth proportional to 2,566.31, 3,849.73 and 811.37 is: 1,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.31 : 3,849.73 = 811.37 : x
  2. Step 2: Convert to fraction form
    2,566.31/3,849.73 = 811.37/x
  3. Step 3: Cross multiply
    2,566.31x = 3,849.73 × 811.37
  4. Step 4: Simplify right side
    2,566.31x = 3,123,563.03
  5. Step 5: Solve for x
    x = 3,123,563.03/2,566.31
  6. Step 6: Final answer
    x = 1,217.14

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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.