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Finding the Fourth Proportional to 1,961.95, 2,940.48 and 988.33

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Solution

The fourth proportional to 1,961.95, 2,940.48 and 988.33 is: 1,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.95 : 2,940.48 = 988.33 : x
  2. Step 2: Convert to fraction form
    1,961.95/2,940.48 = 988.33/x
  3. Step 3: Cross multiply
    1,961.95x = 2,940.48 × 988.33
  4. Step 4: Simplify right side
    1,961.95x = 2,906,164.60
  5. Step 5: Solve for x
    x = 2,906,164.60/1,961.95
  6. Step 6: Final answer
    x = 1,481.26

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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.