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Finding the Fourth Proportional to 2,191.62, 3,288.33 and 958.41

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Solution

The fourth proportional to 2,191.62, 3,288.33 and 958.41 is: 1,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.62 : 3,288.33 = 958.41 : x
  2. Step 2: Convert to fraction form
    2,191.62/3,288.33 = 958.41/x
  3. Step 3: Cross multiply
    2,191.62x = 3,288.33 × 958.41
  4. Step 4: Simplify right side
    2,191.62x = 3,151,568.36
  5. Step 5: Solve for x
    x = 3,151,568.36/2,191.62
  6. Step 6: Final answer
    x = 1,438.01

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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.