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Finding the Fourth Proportional to 2,469.64, 3,408.48 and 1,474.96

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Solution

The fourth proportional to 2,469.64, 3,408.48 and 1,474.96 is: 2,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.64 : 3,408.48 = 1,474.96 : x
  2. Step 2: Convert to fraction form
    2,469.64/3,408.48 = 1,474.96/x
  3. Step 3: Cross multiply
    2,469.64x = 3,408.48 × 1,474.96
  4. Step 4: Simplify right side
    2,469.64x = 5,027,371.66
  5. Step 5: Solve for x
    x = 5,027,371.66/2,469.64
  6. Step 6: Final answer
    x = 2,035.67

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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.