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Finding the Fourth Proportional to 2,143.25, 3,214.79 and 827.63

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Solution

The fourth proportional to 2,143.25, 3,214.79 and 827.63 is: 1,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.25 : 3,214.79 = 827.63 : x
  2. Step 2: Convert to fraction form
    2,143.25/3,214.79 = 827.63/x
  3. Step 3: Cross multiply
    2,143.25x = 3,214.79 × 827.63
  4. Step 4: Simplify right side
    2,143.25x = 2,660,652.51
  5. Step 5: Solve for x
    x = 2,660,652.51/2,143.25
  6. Step 6: Final answer
    x = 1,241.41

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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.