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Finding the Fourth Proportional to 2,682.11, 3,703.14 and 1,674.21

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Solution

The fourth proportional to 2,682.11, 3,703.14 and 1,674.21 is: 2,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.11 : 3,703.14 = 1,674.21 : x
  2. Step 2: Convert to fraction form
    2,682.11/3,703.14 = 1,674.21/x
  3. Step 3: Cross multiply
    2,682.11x = 3,703.14 × 1,674.21
  4. Step 4: Simplify right side
    2,682.11x = 6,199,847.91
  5. Step 5: Solve for x
    x = 6,199,847.91/2,682.11
  6. Step 6: Final answer
    x = 2,311.55

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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.