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Finding the Fourth Proportional to 3,198.65, 4,797.60 and 1,006.17

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Solution

The fourth proportional to 3,198.65, 4,797.60 and 1,006.17 is: 1,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.65 : 4,797.60 = 1,006.17 : x
  2. Step 2: Convert to fraction form
    3,198.65/4,797.60 = 1,006.17/x
  3. Step 3: Cross multiply
    3,198.65x = 4,797.60 × 1,006.17
  4. Step 4: Simplify right side
    3,198.65x = 4,827,201.19
  5. Step 5: Solve for x
    x = 4,827,201.19/3,198.65
  6. Step 6: Final answer
    x = 1,509.14

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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.