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Finding the Fourth Proportional to 2,122.32, 3,183.82 and 889.10

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Solution

The fourth proportional to 2,122.32, 3,183.82 and 889.10 is: 1,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.32 : 3,183.82 = 889.10 : x
  2. Step 2: Convert to fraction form
    2,122.32/3,183.82 = 889.10/x
  3. Step 3: Cross multiply
    2,122.32x = 3,183.82 × 889.10
  4. Step 4: Simplify right side
    2,122.32x = 2,830,734.36
  5. Step 5: Solve for x
    x = 2,830,734.36/2,122.32
  6. Step 6: Final answer
    x = 1,333.79

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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.