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Finding the Fourth Proportional to 1,682.20, 2,524 and 757.12

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Solution

The fourth proportional to 1,682.20, 2,524 and 757.12 is: 1,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.20 : 2,524 = 757.12 : x
  2. Step 2: Convert to fraction form
    1,682.20/2,524 = 757.12/x
  3. Step 3: Cross multiply
    1,682.20x = 2,524 × 757.12
  4. Step 4: Simplify right side
    1,682.20x = 1,910,970.88
  5. Step 5: Solve for x
    x = 1,910,970.88/1,682.20
  6. Step 6: Final answer
    x = 1,136.00

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Why These Related Problems?

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