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Finding the Fourth Proportional to 3,049.64, 4,204.68 and 2,489.54

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Solution

The fourth proportional to 3,049.64, 4,204.68 and 2,489.54 is: 3,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.64 : 4,204.68 = 2,489.54 : x
  2. Step 2: Convert to fraction form
    3,049.64/4,204.68 = 2,489.54/x
  3. Step 3: Cross multiply
    3,049.64x = 4,204.68 × 2,489.54
  4. Step 4: Simplify right side
    3,049.64x = 10,467,719.05
  5. Step 5: Solve for x
    x = 10,467,719.05/3,049.64
  6. Step 6: Final answer
    x = 3,432.44

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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.