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Finding the Fourth Proportional to 2,239.82, 3,359.50 and 596.54

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Solution

The fourth proportional to 2,239.82, 3,359.50 and 596.54 is: 894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.82 : 3,359.50 = 596.54 : x
  2. Step 2: Convert to fraction form
    2,239.82/3,359.50 = 596.54/x
  3. Step 3: Cross multiply
    2,239.82x = 3,359.50 × 596.54
  4. Step 4: Simplify right side
    2,239.82x = 2,004,076.13
  5. Step 5: Solve for x
    x = 2,004,076.13/2,239.82
  6. Step 6: Final answer
    x = 894.75

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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.