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Finding the Fourth Proportional to 2,194.52, 3,290.80 and 733.28

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Solution

The fourth proportional to 2,194.52, 3,290.80 and 733.28 is: 1,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.52 : 3,290.80 = 733.28 : x
  2. Step 2: Convert to fraction form
    2,194.52/3,290.80 = 733.28/x
  3. Step 3: Cross multiply
    2,194.52x = 3,290.80 × 733.28
  4. Step 4: Simplify right side
    2,194.52x = 2,413,077.82
  5. Step 5: Solve for x
    x = 2,413,077.82/2,194.52
  6. Step 6: Final answer
    x = 1,099.59

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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.