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Finding the Fourth Proportional to 1,682.32, 2,523.24 and 449.80

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Solution

The fourth proportional to 1,682.32, 2,523.24 and 449.80 is: 674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.32 : 2,523.24 = 449.80 : x
  2. Step 2: Convert to fraction form
    1,682.32/2,523.24 = 449.80/x
  3. Step 3: Cross multiply
    1,682.32x = 2,523.24 × 449.80
  4. Step 4: Simplify right side
    1,682.32x = 1,134,953.35
  5. Step 5: Solve for x
    x = 1,134,953.35/1,682.32
  6. Step 6: Final answer
    x = 674.64

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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.