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Finding the Fourth Proportional to 2,059.06, 3,085.71 and 960.70

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Solution

The fourth proportional to 2,059.06, 3,085.71 and 960.70 is: 1,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.06 : 3,085.71 = 960.70 : x
  2. Step 2: Convert to fraction form
    2,059.06/3,085.71 = 960.70/x
  3. Step 3: Cross multiply
    2,059.06x = 3,085.71 × 960.70
  4. Step 4: Simplify right side
    2,059.06x = 2,964,441.60
  5. Step 5: Solve for x
    x = 2,964,441.60/2,059.06
  6. Step 6: Final answer
    x = 1,439.71

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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.