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Finding the Fourth Proportional to 1,912.34, 2,864.23 and 1,662.34

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Solution

The fourth proportional to 1,912.34, 2,864.23 and 1,662.34 is: 2,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.34 : 2,864.23 = 1,662.34 : x
  2. Step 2: Convert to fraction form
    1,912.34/2,864.23 = 1,662.34/x
  3. Step 3: Cross multiply
    1,912.34x = 2,864.23 × 1,662.34
  4. Step 4: Simplify right side
    1,912.34x = 4,761,324.10
  5. Step 5: Solve for x
    x = 4,761,324.10/1,912.34
  6. Step 6: Final answer
    x = 2,489.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.