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Finding the Fourth Proportional to 2,122.44, 3,179.90 and 1,811.13

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Solution

The fourth proportional to 2,122.44, 3,179.90 and 1,811.13 is: 2,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.44 : 3,179.90 = 1,811.13 : x
  2. Step 2: Convert to fraction form
    2,122.44/3,179.90 = 1,811.13/x
  3. Step 3: Cross multiply
    2,122.44x = 3,179.90 × 1,811.13
  4. Step 4: Simplify right side
    2,122.44x = 5,759,203.23
  5. Step 5: Solve for x
    x = 5,759,203.23/2,122.44
  6. Step 6: Final answer
    x = 2,713.48

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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.