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Finding the Fourth Proportional to 2,237.31, 3,355.97 and 593.98

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Solution

The fourth proportional to 2,237.31, 3,355.97 and 593.98 is: 890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.31 : 3,355.97 = 593.98 : x
  2. Step 2: Convert to fraction form
    2,237.31/3,355.97 = 593.98/x
  3. Step 3: Cross multiply
    2,237.31x = 3,355.97 × 593.98
  4. Step 4: Simplify right side
    2,237.31x = 1,993,379.06
  5. Step 5: Solve for x
    x = 1,993,379.06/2,237.31
  6. Step 6: Final answer
    x = 890.97

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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.