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Finding the Fourth Proportional to 1,682.24, 2,523.16 and 449.74

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Solution

The fourth proportional to 1,682.24, 2,523.16 and 449.74 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.24 : 2,523.16 = 449.74 : x
  2. Step 2: Convert to fraction form
    1,682.24/2,523.16 = 449.74/x
  3. Step 3: Cross multiply
    1,682.24x = 2,523.16 × 449.74
  4. Step 4: Simplify right side
    1,682.24x = 1,134,765.98
  5. Step 5: Solve for x
    x = 1,134,765.98/1,682.24
  6. Step 6: Final answer
    x = 674.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.