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Finding the Fourth Proportional to 1,721.07, 2,580.66 and 796.47

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Solution

The fourth proportional to 1,721.07, 2,580.66 and 796.47 is: 1,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.07 : 2,580.66 = 796.47 : x
  2. Step 2: Convert to fraction form
    1,721.07/2,580.66 = 796.47/x
  3. Step 3: Cross multiply
    1,721.07x = 2,580.66 × 796.47
  4. Step 4: Simplify right side
    1,721.07x = 2,055,418.27
  5. Step 5: Solve for x
    x = 2,055,418.27/1,721.07
  6. Step 6: Final answer
    x = 1,194.27

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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.