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Finding the Fourth Proportional to 2,237.12, 3,355.43 and 593.80

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Solution

The fourth proportional to 2,237.12, 3,355.43 and 593.80 is: 890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.12 : 3,355.43 = 593.80 : x
  2. Step 2: Convert to fraction form
    2,237.12/3,355.43 = 593.80/x
  3. Step 3: Cross multiply
    2,237.12x = 3,355.43 × 593.80
  4. Step 4: Simplify right side
    2,237.12x = 1,992,446.68
  5. Step 5: Solve for x
    x = 1,992,446.68/2,237.12
  6. Step 6: Final answer
    x = 890.63

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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.