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Finding the Fourth Proportional to 2,154.26, 3,230.99 and 593.88

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Solution

The fourth proportional to 2,154.26, 3,230.99 and 593.88 is: 890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.26 : 3,230.99 = 593.88 : x
  2. Step 2: Convert to fraction form
    2,154.26/3,230.99 = 593.88/x
  3. Step 3: Cross multiply
    2,154.26x = 3,230.99 × 593.88
  4. Step 4: Simplify right side
    2,154.26x = 1,918,817.37
  5. Step 5: Solve for x
    x = 1,918,817.37/2,154.26
  6. Step 6: Final answer
    x = 890.71

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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.