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Finding the Fourth Proportional to 2,123.21, 3,183.45 and 889.99

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Solution

The fourth proportional to 2,123.21, 3,183.45 and 889.99 is: 1,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.21 : 3,183.45 = 889.99 : x
  2. Step 2: Convert to fraction form
    2,123.21/3,183.45 = 889.99/x
  3. Step 3: Cross multiply
    2,123.21x = 3,183.45 × 889.99
  4. Step 4: Simplify right side
    2,123.21x = 2,833,232.38
  5. Step 5: Solve for x
    x = 2,833,232.38/2,123.21
  6. Step 6: Final answer
    x = 1,334.41

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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.