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Finding the Fourth Proportional to 2,131.72, 3,198.79 and 1,208.32

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Solution

The fourth proportional to 2,131.72, 3,198.79 and 1,208.32 is: 1,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.72 : 3,198.79 = 1,208.32 : x
  2. Step 2: Convert to fraction form
    2,131.72/3,198.79 = 1,208.32/x
  3. Step 3: Cross multiply
    2,131.72x = 3,198.79 × 1,208.32
  4. Step 4: Simplify right side
    2,131.72x = 3,865,155.45
  5. Step 5: Solve for x
    x = 3,865,155.45/2,131.72
  6. Step 6: Final answer
    x = 1,813.16

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