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Finding the Fourth Proportional to 2,191.73, 3,288.87 and 959.31

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Solution

The fourth proportional to 2,191.73, 3,288.87 and 959.31 is: 1,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.73 : 3,288.87 = 959.31 : x
  2. Step 2: Convert to fraction form
    2,191.73/3,288.87 = 959.31/x
  3. Step 3: Cross multiply
    2,191.73x = 3,288.87 × 959.31
  4. Step 4: Simplify right side
    2,191.73x = 3,155,045.88
  5. Step 5: Solve for x
    x = 3,155,045.88/2,191.73
  6. Step 6: Final answer
    x = 1,439.53

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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.