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Finding the Fourth Proportional to 2,239.56, 3,359.34 and 596.11

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Solution

The fourth proportional to 2,239.56, 3,359.34 and 596.11 is: 894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.56 : 3,359.34 = 596.11 : x
  2. Step 2: Convert to fraction form
    2,239.56/3,359.34 = 596.11/x
  3. Step 3: Cross multiply
    2,239.56x = 3,359.34 × 596.11
  4. Step 4: Simplify right side
    2,239.56x = 2,002,531.55
  5. Step 5: Solve for x
    x = 2,002,531.55/2,239.56
  6. Step 6: Final answer
    x = 894.16

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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.