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Finding the Fourth Proportional to 2,028.06, 3,046.95 and 1,299.06

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Solution

The fourth proportional to 2,028.06, 3,046.95 and 1,299.06 is: 1,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.06 : 3,046.95 = 1,299.06 : x
  2. Step 2: Convert to fraction form
    2,028.06/3,046.95 = 1,299.06/x
  3. Step 3: Cross multiply
    2,028.06x = 3,046.95 × 1,299.06
  4. Step 4: Simplify right side
    2,028.06x = 3,958,170.87
  5. Step 5: Solve for x
    x = 3,958,170.87/2,028.06
  6. Step 6: Final answer
    x = 1,951.70

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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.