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Finding the Fourth Proportional to 2,024.66, 2,794.07 and 1,228.12

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Solution

The fourth proportional to 2,024.66, 2,794.07 and 1,228.12 is: 1,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.66 : 2,794.07 = 1,228.12 : x
  2. Step 2: Convert to fraction form
    2,024.66/2,794.07 = 1,228.12/x
  3. Step 3: Cross multiply
    2,024.66x = 2,794.07 × 1,228.12
  4. Step 4: Simplify right side
    2,024.66x = 3,431,449.33
  5. Step 5: Solve for x
    x = 3,431,449.33/2,024.66
  6. Step 6: Final answer
    x = 1,694.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.