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Finding the Fourth Proportional to 2,682.96, 4,025.34 and 1,221.63

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Solution

The fourth proportional to 2,682.96, 4,025.34 and 1,221.63 is: 1,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.96 : 4,025.34 = 1,221.63 : x
  2. Step 2: Convert to fraction form
    2,682.96/4,025.34 = 1,221.63/x
  3. Step 3: Cross multiply
    2,682.96x = 4,025.34 × 1,221.63
  4. Step 4: Simplify right side
    2,682.96x = 4,917,476.10
  5. Step 5: Solve for x
    x = 4,917,476.10/2,682.96
  6. Step 6: Final answer
    x = 1,832.85

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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.