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Finding the Fourth Proportional to 2,721.43, 4,082.74 and 966.53

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Solution

The fourth proportional to 2,721.43, 4,082.74 and 966.53 is: 1,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.43 : 4,082.74 = 966.53 : x
  2. Step 2: Convert to fraction form
    2,721.43/4,082.74 = 966.53/x
  3. Step 3: Cross multiply
    2,721.43x = 4,082.74 × 966.53
  4. Step 4: Simplify right side
    2,721.43x = 3,946,098.48
  5. Step 5: Solve for x
    x = 3,946,098.48/2,721.43
  6. Step 6: Final answer
    x = 1,450.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.