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Finding the Fourth Proportional to 3,198.33, 4,797.95 and 1,007.24

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Solution

The fourth proportional to 3,198.33, 4,797.95 and 1,007.24 is: 1,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.33 : 4,797.95 = 1,007.24 : x
  2. Step 2: Convert to fraction form
    3,198.33/4,797.95 = 1,007.24/x
  3. Step 3: Cross multiply
    3,198.33x = 4,797.95 × 1,007.24
  4. Step 4: Simplify right side
    3,198.33x = 4,832,658.13
  5. Step 5: Solve for x
    x = 4,832,658.13/3,198.33
  6. Step 6: Final answer
    x = 1,510.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.