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Finding the Fourth Proportional to 2,060.27, 3,091.41 and 964.47

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Solution

The fourth proportional to 2,060.27, 3,091.41 and 964.47 is: 1,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.27 : 3,091.41 = 964.47 : x
  2. Step 2: Convert to fraction form
    2,060.27/3,091.41 = 964.47/x
  3. Step 3: Cross multiply
    2,060.27x = 3,091.41 × 964.47
  4. Step 4: Simplify right side
    2,060.27x = 2,981,572.20
  5. Step 5: Solve for x
    x = 2,981,572.20/2,060.27
  6. Step 6: Final answer
    x = 1,447.18

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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.