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Finding the Fourth Proportional to 2,122.82, 3,180.98 and 1,081.26

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Solution

The fourth proportional to 2,122.82, 3,180.98 and 1,081.26 is: 1,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.82 : 3,180.98 = 1,081.26 : x
  2. Step 2: Convert to fraction form
    2,122.82/3,180.98 = 1,081.26/x
  3. Step 3: Cross multiply
    2,122.82x = 3,180.98 × 1,081.26
  4. Step 4: Simplify right side
    2,122.82x = 3,439,461.03
  5. Step 5: Solve for x
    x = 3,439,461.03/2,122.82
  6. Step 6: Final answer
    x = 1,620.24

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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.