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Finding the Fourth Proportional to 2,408.16, 3,612.76 and 764.84

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Solution

The fourth proportional to 2,408.16, 3,612.76 and 764.84 is: 1,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.16 : 3,612.76 = 764.84 : x
  2. Step 2: Convert to fraction form
    2,408.16/3,612.76 = 764.84/x
  3. Step 3: Cross multiply
    2,408.16x = 3,612.76 × 764.84
  4. Step 4: Simplify right side
    2,408.16x = 2,763,183.36
  5. Step 5: Solve for x
    x = 2,763,183.36/2,408.16
  6. Step 6: Final answer
    x = 1,147.43

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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.