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Finding the Fourth Proportional to 2,122.06, 3,181.82 and 951.85

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Solution

The fourth proportional to 2,122.06, 3,181.82 and 951.85 is: 1,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.06 : 3,181.82 = 951.85 : x
  2. Step 2: Convert to fraction form
    2,122.06/3,181.82 = 951.85/x
  3. Step 3: Cross multiply
    2,122.06x = 3,181.82 × 951.85
  4. Step 4: Simplify right side
    2,122.06x = 3,028,610.61
  5. Step 5: Solve for x
    x = 3,028,610.61/2,122.06
  6. Step 6: Final answer
    x = 1,427.20

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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.