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Finding the Fourth Proportional to 1,682.46, 2,523.74 and 449.87

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Solution

The fourth proportional to 1,682.46, 2,523.74 and 449.87 is: 674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.46 : 2,523.74 = 449.87 : x
  2. Step 2: Convert to fraction form
    1,682.46/2,523.74 = 449.87/x
  3. Step 3: Cross multiply
    1,682.46x = 2,523.74 × 449.87
  4. Step 4: Simplify right side
    1,682.46x = 1,135,352.66
  5. Step 5: Solve for x
    x = 1,135,352.66/1,682.46
  6. Step 6: Final answer
    x = 674.82

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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.