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Finding the Fourth Proportional to 2,190.94, 3,286.48 and 730.24

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Solution

The fourth proportional to 2,190.94, 3,286.48 and 730.24 is: 1,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.94 : 3,286.48 = 730.24 : x
  2. Step 2: Convert to fraction form
    2,190.94/3,286.48 = 730.24/x
  3. Step 3: Cross multiply
    2,190.94x = 3,286.48 × 730.24
  4. Step 4: Simplify right side
    2,190.94x = 2,399,919.16
  5. Step 5: Solve for x
    x = 2,399,919.16/2,190.94
  6. Step 6: Final answer
    x = 1,095.38

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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.