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Finding the Fourth Proportional to 2,122.99, 3,179.67 and 1,028.13

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Solution

The fourth proportional to 2,122.99, 3,179.67 and 1,028.13 is: 1,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.99 : 3,179.67 = 1,028.13 : x
  2. Step 2: Convert to fraction form
    2,122.99/3,179.67 = 1,028.13/x
  3. Step 3: Cross multiply
    2,122.99x = 3,179.67 × 1,028.13
  4. Step 4: Simplify right side
    2,122.99x = 3,269,114.12
  5. Step 5: Solve for x
    x = 3,269,114.12/2,122.99
  6. Step 6: Final answer
    x = 1,539.86

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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.