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Finding the Fourth Proportional to 3,198.79, 4,798.83 and 1,349.90

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Solution

The fourth proportional to 3,198.79, 4,798.83 and 1,349.90 is: 2,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.79 : 4,798.83 = 1,349.90 : x
  2. Step 2: Convert to fraction form
    3,198.79/4,798.83 = 1,349.90/x
  3. Step 3: Cross multiply
    3,198.79x = 4,798.83 × 1,349.90
  4. Step 4: Simplify right side
    3,198.79x = 6,477,940.62
  5. Step 5: Solve for x
    x = 6,477,940.62/3,198.79
  6. Step 6: Final answer
    x = 2,025.13

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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.