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Finding the Fourth Proportional to 2,567.19, 3,850.78 and 1,028.19

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Solution

The fourth proportional to 2,567.19, 3,850.78 and 1,028.19 is: 1,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.19 : 3,850.78 = 1,028.19 : x
  2. Step 2: Convert to fraction form
    2,567.19/3,850.78 = 1,028.19/x
  3. Step 3: Cross multiply
    2,567.19x = 3,850.78 × 1,028.19
  4. Step 4: Simplify right side
    2,567.19x = 3,959,333.49
  5. Step 5: Solve for x
    x = 3,959,333.49/2,567.19
  6. Step 6: Final answer
    x = 1,542.28

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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.