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Finding the Fourth Proportional to 3,048.39, 4,572.50 and 1,198.17

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Solution

The fourth proportional to 3,048.39, 4,572.50 and 1,198.17 is: 1,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.39 : 4,572.50 = 1,198.17 : x
  2. Step 2: Convert to fraction form
    3,048.39/4,572.50 = 1,198.17/x
  3. Step 3: Cross multiply
    3,048.39x = 4,572.50 × 1,198.17
  4. Step 4: Simplify right side
    3,048.39x = 5,478,626.33
  5. Step 5: Solve for x
    x = 5,478,626.33/3,048.39
  6. Step 6: Final answer
    x = 1,797.22

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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.