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Finding the Fourth Proportional to 2,023.91, 3,034.66 and 789.88

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Solution

The fourth proportional to 2,023.91, 3,034.66 and 789.88 is: 1,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.91 : 3,034.66 = 789.88 : x
  2. Step 2: Convert to fraction form
    2,023.91/3,034.66 = 789.88/x
  3. Step 3: Cross multiply
    2,023.91x = 3,034.66 × 789.88
  4. Step 4: Simplify right side
    2,023.91x = 2,396,998.12
  5. Step 5: Solve for x
    x = 2,396,998.12/2,023.91
  6. Step 6: Final answer
    x = 1,184.34

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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.