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Finding the Fourth Proportional to 2,154.34, 3,231.08 and 593.94

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Solution

The fourth proportional to 2,154.34, 3,231.08 and 593.94 is: 890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.34 : 3,231.08 = 593.94 : x
  2. Step 2: Convert to fraction form
    2,154.34/3,231.08 = 593.94/x
  3. Step 3: Cross multiply
    2,154.34x = 3,231.08 × 593.94
  4. Step 4: Simplify right side
    2,154.34x = 1,919,067.66
  5. Step 5: Solve for x
    x = 1,919,067.66/2,154.34
  6. Step 6: Final answer
    x = 890.79

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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.