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Finding the Fourth Proportional to 2,682.15, 3,701.21 and 1,563.27

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Solution

The fourth proportional to 2,682.15, 3,701.21 and 1,563.27 is: 2,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.15 : 3,701.21 = 1,563.27 : x
  2. Step 2: Convert to fraction form
    2,682.15/3,701.21 = 1,563.27/x
  3. Step 3: Cross multiply
    2,682.15x = 3,701.21 × 1,563.27
  4. Step 4: Simplify right side
    2,682.15x = 5,785,968.86
  5. Step 5: Solve for x
    x = 5,785,968.86/2,682.15
  6. Step 6: Final answer
    x = 2,157.22

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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.