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Finding the Fourth Proportional to 2,070.99, 3,103.46 and 960.74

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Solution

The fourth proportional to 2,070.99, 3,103.46 and 960.74 is: 1,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.99 : 3,103.46 = 960.74 : x
  2. Step 2: Convert to fraction form
    2,070.99/3,103.46 = 960.74/x
  3. Step 3: Cross multiply
    2,070.99x = 3,103.46 × 960.74
  4. Step 4: Simplify right side
    2,070.99x = 2,981,621.12
  5. Step 5: Solve for x
    x = 2,981,621.12/2,070.99
  6. Step 6: Final answer
    x = 1,439.71

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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.