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Finding the Fourth Proportional to 2,721.54, 4,082.84 and 966.62

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Solution

The fourth proportional to 2,721.54, 4,082.84 and 966.62 is: 1,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.54 : 4,082.84 = 966.62 : x
  2. Step 2: Convert to fraction form
    2,721.54/4,082.84 = 966.62/x
  3. Step 3: Cross multiply
    2,721.54x = 4,082.84 × 966.62
  4. Step 4: Simplify right side
    2,721.54x = 3,946,554.80
  5. Step 5: Solve for x
    x = 3,946,554.80/2,721.54
  6. Step 6: Final answer
    x = 1,450.12

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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.