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Finding the Fourth Proportional to 1,940.39, 2,910.13 and 966.27

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Solution

The fourth proportional to 1,940.39, 2,910.13 and 966.27 is: 1,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.39 : 2,910.13 = 966.27 : x
  2. Step 2: Convert to fraction form
    1,940.39/2,910.13 = 966.27/x
  3. Step 3: Cross multiply
    1,940.39x = 2,910.13 × 966.27
  4. Step 4: Simplify right side
    1,940.39x = 2,811,971.32
  5. Step 5: Solve for x
    x = 2,811,971.32/1,940.39
  6. Step 6: Final answer
    x = 1,449.18

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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.