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Finding the Fourth Proportional to 2,408.04, 3,612.68 and 676.66

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Solution

The fourth proportional to 2,408.04, 3,612.68 and 676.66 is: 1,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.04 : 3,612.68 = 676.66 : x
  2. Step 2: Convert to fraction form
    2,408.04/3,612.68 = 676.66/x
  3. Step 3: Cross multiply
    2,408.04x = 3,612.68 × 676.66
  4. Step 4: Simplify right side
    2,408.04x = 2,444,556.05
  5. Step 5: Solve for x
    x = 2,444,556.05/2,408.04
  6. Step 6: Final answer
    x = 1,015.16

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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.