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Finding the Fourth Proportional to 2,121.91, 3,181.85 and 872.30

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Solution

The fourth proportional to 2,121.91, 3,181.85 and 872.30 is: 1,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.91 : 3,181.85 = 872.30 : x
  2. Step 2: Convert to fraction form
    2,121.91/3,181.85 = 872.30/x
  3. Step 3: Cross multiply
    2,121.91x = 3,181.85 × 872.30
  4. Step 4: Simplify right side
    2,121.91x = 2,775,534.62
  5. Step 5: Solve for x
    x = 2,775,534.62/2,121.91
  6. Step 6: Final answer
    x = 1,308.04

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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.