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Finding the Fourth Proportional to 2,122.12, 3,181.92 and 872.34

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Solution

The fourth proportional to 2,122.12, 3,181.92 and 872.34 is: 1,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.12 : 3,181.92 = 872.34 : x
  2. Step 2: Convert to fraction form
    2,122.12/3,181.92 = 872.34/x
  3. Step 3: Cross multiply
    2,122.12x = 3,181.92 × 872.34
  4. Step 4: Simplify right side
    2,122.12x = 2,775,716.09
  5. Step 5: Solve for x
    x = 2,775,716.09/2,122.12
  6. Step 6: Final answer
    x = 1,307.99

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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.