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Finding the Fourth Proportional to 1,959.94, 2,940.09 and 661.42

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Solution

The fourth proportional to 1,959.94, 2,940.09 and 661.42 is: 992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.94 : 2,940.09 = 661.42 : x
  2. Step 2: Convert to fraction form
    1,959.94/2,940.09 = 661.42/x
  3. Step 3: Cross multiply
    1,959.94x = 2,940.09 × 661.42
  4. Step 4: Simplify right side
    1,959.94x = 1,944,634.33
  5. Step 5: Solve for x
    x = 1,944,634.33/1,959.94
  6. Step 6: Final answer
    x = 992.19

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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.