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Finding the Fourth Proportional to 3,109.36, 4,662.90 and 1,028.78

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Solution

The fourth proportional to 3,109.36, 4,662.90 and 1,028.78 is: 1,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.36 : 4,662.90 = 1,028.78 : x
  2. Step 2: Convert to fraction form
    3,109.36/4,662.90 = 1,028.78/x
  3. Step 3: Cross multiply
    3,109.36x = 4,662.90 × 1,028.78
  4. Step 4: Simplify right side
    3,109.36x = 4,797,074.95
  5. Step 5: Solve for x
    x = 4,797,074.95/3,109.36
  6. Step 6: Final answer
    x = 1,542.79

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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.