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Finding the Fourth Proportional to 2,429.32, 3,644.20 and 674.43

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Solution

The fourth proportional to 2,429.32, 3,644.20 and 674.43 is: 1,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.32 : 3,644.20 = 674.43 : x
  2. Step 2: Convert to fraction form
    2,429.32/3,644.20 = 674.43/x
  3. Step 3: Cross multiply
    2,429.32x = 3,644.20 × 674.43
  4. Step 4: Simplify right side
    2,429.32x = 2,457,757.81
  5. Step 5: Solve for x
    x = 2,457,757.81/2,429.32
  6. Step 6: Final answer
    x = 1,011.71

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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.