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Finding the Fourth Proportional to 2,056.46, 3,082.98 and 960.26

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Solution

The fourth proportional to 2,056.46, 3,082.98 and 960.26 is: 1,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.46 : 3,082.98 = 960.26 : x
  2. Step 2: Convert to fraction form
    2,056.46/3,082.98 = 960.26/x
  3. Step 3: Cross multiply
    2,056.46x = 3,082.98 × 960.26
  4. Step 4: Simplify right side
    2,056.46x = 2,960,462.37
  5. Step 5: Solve for x
    x = 2,960,462.37/2,056.46
  6. Step 6: Final answer
    x = 1,439.59

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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.