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Finding the Fourth Proportional to 2,238.72, 3,355.93 and 1,198.06

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Solution

The fourth proportional to 2,238.72, 3,355.93 and 1,198.06 is: 1,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.72 : 3,355.93 = 1,198.06 : x
  2. Step 2: Convert to fraction form
    2,238.72/3,355.93 = 1,198.06/x
  3. Step 3: Cross multiply
    2,238.72x = 3,355.93 × 1,198.06
  4. Step 4: Simplify right side
    2,238.72x = 4,020,605.50
  5. Step 5: Solve for x
    x = 4,020,605.50/2,238.72
  6. Step 6: Final answer
    x = 1,795.94

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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.