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Finding the Fourth Proportional to 2,153.30, 3,229.41 and 593.22

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Solution

The fourth proportional to 2,153.30, 3,229.41 and 593.22 is: 889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.30 : 3,229.41 = 593.22 : x
  2. Step 2: Convert to fraction form
    2,153.30/3,229.41 = 593.22/x
  3. Step 3: Cross multiply
    2,153.30x = 3,229.41 × 593.22
  4. Step 4: Simplify right side
    2,153.30x = 1,915,750.60
  5. Step 5: Solve for x
    x = 1,915,750.60/2,153.30
  6. Step 6: Final answer
    x = 889.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.