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Finding the Fourth Proportional to 2,008.62, 3,012.75 and 1,682.82

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Solution

The fourth proportional to 2,008.62, 3,012.75 and 1,682.82 is: 2,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.62 : 3,012.75 = 1,682.82 : x
  2. Step 2: Convert to fraction form
    2,008.62/3,012.75 = 1,682.82/x
  3. Step 3: Cross multiply
    2,008.62x = 3,012.75 × 1,682.82
  4. Step 4: Simplify right side
    2,008.62x = 5,069,915.96
  5. Step 5: Solve for x
    x = 5,069,915.96/2,008.62
  6. Step 6: Final answer
    x = 2,524.08

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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.