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Finding the Fourth Proportional to 1,682, 2,523.64 and 656.08

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Solution

The fourth proportional to 1,682, 2,523.64 and 656.08 is: 984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682 : 2,523.64 = 656.08 : x
  2. Step 2: Convert to fraction form
    1,682/2,523.64 = 656.08/x
  3. Step 3: Cross multiply
    1,682x = 2,523.64 × 656.08
  4. Step 4: Simplify right side
    1,682x = 1,655,709.73
  5. Step 5: Solve for x
    x = 1,655,709.73/1,682
  6. Step 6: Final answer
    x = 984.37

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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.