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Finding the Fourth Proportional to 2,239.74, 3,359.35 and 596.42

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Solution

The fourth proportional to 2,239.74, 3,359.35 and 596.42 is: 894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.74 : 3,359.35 = 596.42 : x
  2. Step 2: Convert to fraction form
    2,239.74/3,359.35 = 596.42/x
  3. Step 3: Cross multiply
    2,239.74x = 3,359.35 × 596.42
  4. Step 4: Simplify right side
    2,239.74x = 2,003,583.53
  5. Step 5: Solve for x
    x = 2,003,583.53/2,239.74
  6. Step 6: Final answer
    x = 894.56

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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.