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Finding the Fourth Proportional to 2,159.61, 3,239.99 and 773.09

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Solution

The fourth proportional to 2,159.61, 3,239.99 and 773.09 is: 1,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.61 : 3,239.99 = 773.09 : x
  2. Step 2: Convert to fraction form
    2,159.61/3,239.99 = 773.09/x
  3. Step 3: Cross multiply
    2,159.61x = 3,239.99 × 773.09
  4. Step 4: Simplify right side
    2,159.61x = 2,504,783.80
  5. Step 5: Solve for x
    x = 2,504,783.80/2,159.61
  6. Step 6: Final answer
    x = 1,159.83

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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.