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Finding the Fourth Proportional to 1,940.96, 2,909.39 and 1,392.85

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Solution

The fourth proportional to 1,940.96, 2,909.39 and 1,392.85 is: 2,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.96 : 2,909.39 = 1,392.85 : x
  2. Step 2: Convert to fraction form
    1,940.96/2,909.39 = 1,392.85/x
  3. Step 3: Cross multiply
    1,940.96x = 2,909.39 × 1,392.85
  4. Step 4: Simplify right side
    1,940.96x = 4,052,335.92
  5. Step 5: Solve for x
    x = 4,052,335.92/1,940.96
  6. Step 6: Final answer
    x = 2,087.80

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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.