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Finding the Fourth Proportional to 2,061.12, 3,091.20 and 964.44

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Solution

The fourth proportional to 2,061.12, 3,091.20 and 964.44 is: 1,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.12 : 3,091.20 = 964.44 : x
  2. Step 2: Convert to fraction form
    2,061.12/3,091.20 = 964.44/x
  3. Step 3: Cross multiply
    2,061.12x = 3,091.20 × 964.44
  4. Step 4: Simplify right side
    2,061.12x = 2,981,276.93
  5. Step 5: Solve for x
    x = 2,981,276.93/2,061.12
  6. Step 6: Final answer
    x = 1,446.44

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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.