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Finding the Fourth Proportional to 2,566.04, 3,849.57 and 811.31

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Solution

The fourth proportional to 2,566.04, 3,849.57 and 811.31 is: 1,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.04 : 3,849.57 = 811.31 : x
  2. Step 2: Convert to fraction form
    2,566.04/3,849.57 = 811.31/x
  3. Step 3: Cross multiply
    2,566.04x = 3,849.57 × 811.31
  4. Step 4: Simplify right side
    2,566.04x = 3,123,190.58
  5. Step 5: Solve for x
    x = 3,123,190.58/2,566.04
  6. Step 6: Final answer
    x = 1,217.12

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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.