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Finding the Fourth Proportional to 2,146.73, 3,220.74 and 914.25

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Solution

The fourth proportional to 2,146.73, 3,220.74 and 914.25 is: 1,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.73 : 3,220.74 = 914.25 : x
  2. Step 2: Convert to fraction form
    2,146.73/3,220.74 = 914.25/x
  3. Step 3: Cross multiply
    2,146.73x = 3,220.74 × 914.25
  4. Step 4: Simplify right side
    2,146.73x = 2,944,556.97
  5. Step 5: Solve for x
    x = 2,944,556.97/2,146.73
  6. Step 6: Final answer
    x = 1,371.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.