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Finding the Fourth Proportional to 2,191.52, 3,286.88 and 958.70

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Solution

The fourth proportional to 2,191.52, 3,286.88 and 958.70 is: 1,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.52 : 3,286.88 = 958.70 : x
  2. Step 2: Convert to fraction form
    2,191.52/3,286.88 = 958.70/x
  3. Step 3: Cross multiply
    2,191.52x = 3,286.88 × 958.70
  4. Step 4: Simplify right side
    2,191.52x = 3,151,138.87
  5. Step 5: Solve for x
    x = 3,151,138.87/2,191.52
  6. Step 6: Final answer
    x = 1,437.88

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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.