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Finding the Fourth Proportional to 2,239.64, 3,359.60 and 596.15

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Solution

The fourth proportional to 2,239.64, 3,359.60 and 596.15 is: 894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.64 : 3,359.60 = 596.15 : x
  2. Step 2: Convert to fraction form
    2,239.64/3,359.60 = 596.15/x
  3. Step 3: Cross multiply
    2,239.64x = 3,359.60 × 596.15
  4. Step 4: Simplify right side
    2,239.64x = 2,002,805.76
  5. Step 5: Solve for x
    x = 2,002,805.76/2,239.64
  6. Step 6: Final answer
    x = 894.26

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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.