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Finding the Fourth Proportional to 2,123.43, 3,168.10 and 1,889.54

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Solution

The fourth proportional to 2,123.43, 3,168.10 and 1,889.54 is: 2,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.43 : 3,168.10 = 1,889.54 : x
  2. Step 2: Convert to fraction form
    2,123.43/3,168.10 = 1,889.54/x
  3. Step 3: Cross multiply
    2,123.43x = 3,168.10 × 1,889.54
  4. Step 4: Simplify right side
    2,123.43x = 5,986,251.67
  5. Step 5: Solve for x
    x = 5,986,251.67/2,123.43
  6. Step 6: Final answer
    x = 2,819.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.