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Finding the Fourth Proportional to 2,194.35, 3,291.54 and 733.51

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Solution

The fourth proportional to 2,194.35, 3,291.54 and 733.51 is: 1,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.35 : 3,291.54 = 733.51 : x
  2. Step 2: Convert to fraction form
    2,194.35/3,291.54 = 733.51/x
  3. Step 3: Cross multiply
    2,194.35x = 3,291.54 × 733.51
  4. Step 4: Simplify right side
    2,194.35x = 2,414,377.51
  5. Step 5: Solve for x
    x = 2,414,377.51/2,194.35
  6. Step 6: Final answer
    x = 1,100.27

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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.