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Finding the Fourth Proportional to 2,153.01, 3,229.52 and 593.03

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Solution

The fourth proportional to 2,153.01, 3,229.52 and 593.03 is: 889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.01 : 3,229.52 = 593.03 : x
  2. Step 2: Convert to fraction form
    2,153.01/3,229.52 = 593.03/x
  3. Step 3: Cross multiply
    2,153.01x = 3,229.52 × 593.03
  4. Step 4: Simplify right side
    2,153.01x = 1,915,183.13
  5. Step 5: Solve for x
    x = 1,915,183.13/2,153.01
  6. Step 6: Final answer
    x = 889.54

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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.