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Finding the Fourth Proportional to 2,153.54, 3,229.89 and 593.14

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Solution

The fourth proportional to 2,153.54, 3,229.89 and 593.14 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.54 : 3,229.89 = 593.14 : x
  2. Step 2: Convert to fraction form
    2,153.54/3,229.89 = 593.14/x
  3. Step 3: Cross multiply
    2,153.54x = 3,229.89 × 593.14
  4. Step 4: Simplify right side
    2,153.54x = 1,915,776.95
  5. Step 5: Solve for x
    x = 1,915,776.95/2,153.54
  6. Step 6: Final answer
    x = 889.59

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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.