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Finding the Fourth Proportional to 2,567.36, 3,851.04 and 1,086.20

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Solution

The fourth proportional to 2,567.36, 3,851.04 and 1,086.20 is: 1,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.36 : 3,851.04 = 1,086.20 : x
  2. Step 2: Convert to fraction form
    2,567.36/3,851.04 = 1,086.20/x
  3. Step 3: Cross multiply
    2,567.36x = 3,851.04 × 1,086.20
  4. Step 4: Simplify right side
    2,567.36x = 4,182,977.68
  5. Step 5: Solve for x
    x = 4,182,977.68/2,567.36
  6. Step 6: Final answer
    x = 1,629.29

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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.