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Finding the Fourth Proportional to 1,940.23, 2,908.32 and 844.03

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Solution

The fourth proportional to 1,940.23, 2,908.32 and 844.03 is: 1,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.23 : 2,908.32 = 844.03 : x
  2. Step 2: Convert to fraction form
    1,940.23/2,908.32 = 844.03/x
  3. Step 3: Cross multiply
    1,940.23x = 2,908.32 × 844.03
  4. Step 4: Simplify right side
    1,940.23x = 2,454,709.33
  5. Step 5: Solve for x
    x = 2,454,709.33/1,940.23
  6. Step 6: Final answer
    x = 1,265.16

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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.