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Finding the Fourth Proportional to 2,440.37, 3,660.17 and 796.91

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Solution

The fourth proportional to 2,440.37, 3,660.17 and 796.91 is: 1,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.37 : 3,660.17 = 796.91 : x
  2. Step 2: Convert to fraction form
    2,440.37/3,660.17 = 796.91/x
  3. Step 3: Cross multiply
    2,440.37x = 3,660.17 × 796.91
  4. Step 4: Simplify right side
    2,440.37x = 2,916,803.79
  5. Step 5: Solve for x
    x = 2,916,803.79/2,440.37
  6. Step 6: Final answer
    x = 1,195.23

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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.