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Finding the Fourth Proportional to 2,566.59, 3,851.04 and 1,086.21

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Solution

The fourth proportional to 2,566.59, 3,851.04 and 1,086.21 is: 1,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.59 : 3,851.04 = 1,086.21 : x
  2. Step 2: Convert to fraction form
    2,566.59/3,851.04 = 1,086.21/x
  3. Step 3: Cross multiply
    2,566.59x = 3,851.04 × 1,086.21
  4. Step 4: Simplify right side
    2,566.59x = 4,183,042.23
  5. Step 5: Solve for x
    x = 4,183,042.23/2,566.59
  6. Step 6: Final answer
    x = 1,629.81

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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.