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Finding the Fourth Proportional to 1,682.38, 2,524 and 989.62

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Solution

The fourth proportional to 1,682.38, 2,524 and 989.62 is: 1,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.38 : 2,524 = 989.62 : x
  2. Step 2: Convert to fraction form
    1,682.38/2,524 = 989.62/x
  3. Step 3: Cross multiply
    1,682.38x = 2,524 × 989.62
  4. Step 4: Simplify right side
    1,682.38x = 2,497,800.88
  5. Step 5: Solve for x
    x = 2,497,800.88/1,682.38
  6. Step 6: Final answer
    x = 1,484.68

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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.