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Finding the Fourth Proportional to 2,115.27, 3,173.46 and 960.75

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Solution

The fourth proportional to 2,115.27, 3,173.46 and 960.75 is: 1,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.27 : 3,173.46 = 960.75 : x
  2. Step 2: Convert to fraction form
    2,115.27/3,173.46 = 960.75/x
  3. Step 3: Cross multiply
    2,115.27x = 3,173.46 × 960.75
  4. Step 4: Simplify right side
    2,115.27x = 3,048,901.70
  5. Step 5: Solve for x
    x = 3,048,901.70/2,115.27
  6. Step 6: Final answer
    x = 1,441.38

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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.