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Finding the Fourth Proportional to 2,150.92, 3,224.22 and 997.48

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Solution

The fourth proportional to 2,150.92, 3,224.22 and 997.48 is: 1,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.92 : 3,224.22 = 997.48 : x
  2. Step 2: Convert to fraction form
    2,150.92/3,224.22 = 997.48/x
  3. Step 3: Cross multiply
    2,150.92x = 3,224.22 × 997.48
  4. Step 4: Simplify right side
    2,150.92x = 3,216,094.97
  5. Step 5: Solve for x
    x = 3,216,094.97/2,150.92
  6. Step 6: Final answer
    x = 1,495.22

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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.