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Finding the Fourth Proportional to 2,408.27, 3,612.20 and 676.89

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Solution

The fourth proportional to 2,408.27, 3,612.20 and 676.89 is: 1,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.27 : 3,612.20 = 676.89 : x
  2. Step 2: Convert to fraction form
    2,408.27/3,612.20 = 676.89/x
  3. Step 3: Cross multiply
    2,408.27x = 3,612.20 × 676.89
  4. Step 4: Simplify right side
    2,408.27x = 2,445,058.67
  5. Step 5: Solve for x
    x = 2,445,058.67/2,408.27
  6. Step 6: Final answer
    x = 1,015.28

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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.