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Finding the Fourth Proportional to 3,008.54, 4,151.84 and 1,682.24

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Solution

The fourth proportional to 3,008.54, 4,151.84 and 1,682.24 is: 2,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.54 : 4,151.84 = 1,682.24 : x
  2. Step 2: Convert to fraction form
    3,008.54/4,151.84 = 1,682.24/x
  3. Step 3: Cross multiply
    3,008.54x = 4,151.84 × 1,682.24
  4. Step 4: Simplify right side
    3,008.54x = 6,984,371.61
  5. Step 5: Solve for x
    x = 6,984,371.61/3,008.54
  6. Step 6: Final answer
    x = 2,321.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.