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Finding the Fourth Proportional to 3,198.54, 4,797.85 and 1,007.29

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Solution

The fourth proportional to 3,198.54, 4,797.85 and 1,007.29 is: 1,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.54 : 4,797.85 = 1,007.29 : x
  2. Step 2: Convert to fraction form
    3,198.54/4,797.85 = 1,007.29/x
  3. Step 3: Cross multiply
    3,198.54x = 4,797.85 × 1,007.29
  4. Step 4: Simplify right side
    3,198.54x = 4,832,826.33
  5. Step 5: Solve for x
    x = 4,832,826.33/3,198.54
  6. Step 6: Final answer
    x = 1,510.95

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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.