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Finding the Fourth Proportional to 2,182, 3,274.44 and 1,027.84

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Solution

The fourth proportional to 2,182, 3,274.44 and 1,027.84 is: 1,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182 : 3,274.44 = 1,027.84 : x
  2. Step 2: Convert to fraction form
    2,182/3,274.44 = 1,027.84/x
  3. Step 3: Cross multiply
    2,182x = 3,274.44 × 1,027.84
  4. Step 4: Simplify right side
    2,182x = 3,365,600.41
  5. Step 5: Solve for x
    x = 3,365,600.41/2,182
  6. Step 6: Final answer
    x = 1,542.44

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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.