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Finding the Fourth Proportional to 1,959.32, 2,939.42 and 660.75

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Solution

The fourth proportional to 1,959.32, 2,939.42 and 660.75 is: 991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.32 : 2,939.42 = 660.75 : x
  2. Step 2: Convert to fraction form
    1,959.32/2,939.42 = 660.75/x
  3. Step 3: Cross multiply
    1,959.32x = 2,939.42 × 660.75
  4. Step 4: Simplify right side
    1,959.32x = 1,942,221.77
  5. Step 5: Solve for x
    x = 1,942,221.77/1,959.32
  6. Step 6: Final answer
    x = 991.27

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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.