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Finding the Fourth Proportional to 2,146.93, 3,221.21 and 849.31

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Solution

The fourth proportional to 2,146.93, 3,221.21 and 849.31 is: 1,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.93 : 3,221.21 = 849.31 : x
  2. Step 2: Convert to fraction form
    2,146.93/3,221.21 = 849.31/x
  3. Step 3: Cross multiply
    2,146.93x = 3,221.21 × 849.31
  4. Step 4: Simplify right side
    2,146.93x = 2,735,805.87
  5. Step 5: Solve for x
    x = 2,735,805.87/2,146.93
  6. Step 6: Final answer
    x = 1,274.29

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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.