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Finding the Fourth Proportional to 2,060.57, 3,091.31 and 964.34

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Solution

The fourth proportional to 2,060.57, 3,091.31 and 964.34 is: 1,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.57 : 3,091.31 = 964.34 : x
  2. Step 2: Convert to fraction form
    2,060.57/3,091.31 = 964.34/x
  3. Step 3: Cross multiply
    2,060.57x = 3,091.31 × 964.34
  4. Step 4: Simplify right side
    2,060.57x = 2,981,073.89
  5. Step 5: Solve for x
    x = 2,981,073.89/2,060.57
  6. Step 6: Final answer
    x = 1,446.72

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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.