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Finding the Fourth Proportional to 2,123.03, 3,183.26 and 889.80

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Solution

The fourth proportional to 2,123.03, 3,183.26 and 889.80 is: 1,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.03 : 3,183.26 = 889.80 : x
  2. Step 2: Convert to fraction form
    2,123.03/3,183.26 = 889.80/x
  3. Step 3: Cross multiply
    2,123.03x = 3,183.26 × 889.80
  4. Step 4: Simplify right side
    2,123.03x = 2,832,460.30
  5. Step 5: Solve for x
    x = 2,832,460.30/2,123.03
  6. Step 6: Final answer
    x = 1,334.16

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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.