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Finding the Fourth Proportional to 2,236.60, 3,354.62 and 593.24

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Solution

The fourth proportional to 2,236.60, 3,354.62 and 593.24 is: 889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.60 : 3,354.62 = 593.24 : x
  2. Step 2: Convert to fraction form
    2,236.60/3,354.62 = 593.24/x
  3. Step 3: Cross multiply
    2,236.60x = 3,354.62 × 593.24
  4. Step 4: Simplify right side
    2,236.60x = 1,990,094.77
  5. Step 5: Solve for x
    x = 1,990,094.77/2,236.60
  6. Step 6: Final answer
    x = 889.79

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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.