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Finding the Fourth Proportional to 2,408.30, 3,608.19 and 1,676.46

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Solution

The fourth proportional to 2,408.30, 3,608.19 and 1,676.46 is: 2,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.30 : 3,608.19 = 1,676.46 : x
  2. Step 2: Convert to fraction form
    2,408.30/3,608.19 = 1,676.46/x
  3. Step 3: Cross multiply
    2,408.30x = 3,608.19 × 1,676.46
  4. Step 4: Simplify right side
    2,408.30x = 6,048,986.21
  5. Step 5: Solve for x
    x = 6,048,986.21/2,408.30
  6. Step 6: Final answer
    x = 2,511.73

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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.