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Finding the Fourth Proportional to 1,682.21, 2,523.31 and 512.21

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Solution

The fourth proportional to 1,682.21, 2,523.31 and 512.21 is: 768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.21 : 2,523.31 = 512.21 : x
  2. Step 2: Convert to fraction form
    1,682.21/2,523.31 = 512.21/x
  3. Step 3: Cross multiply
    1,682.21x = 2,523.31 × 512.21
  4. Step 4: Simplify right side
    1,682.21x = 1,292,464.62
  5. Step 5: Solve for x
    x = 1,292,464.62/1,682.21
  6. Step 6: Final answer
    x = 768.31

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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.