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Finding the Fourth Proportional to 2,121.78, 3,183.92 and 889.09

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Solution

The fourth proportional to 2,121.78, 3,183.92 and 889.09 is: 1,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.78 : 3,183.92 = 889.09 : x
  2. Step 2: Convert to fraction form
    2,121.78/3,183.92 = 889.09/x
  3. Step 3: Cross multiply
    2,121.78x = 3,183.92 × 889.09
  4. Step 4: Simplify right side
    2,121.78x = 2,830,779.03
  5. Step 5: Solve for x
    x = 2,830,779.03/2,121.78
  6. Step 6: Final answer
    x = 1,334.15

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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.