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Finding the Fourth Proportional to 2,408.63, 3,610.16 and 1,107.37

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Solution

The fourth proportional to 2,408.63, 3,610.16 and 1,107.37 is: 1,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.63 : 3,610.16 = 1,107.37 : x
  2. Step 2: Convert to fraction form
    2,408.63/3,610.16 = 1,107.37/x
  3. Step 3: Cross multiply
    2,408.63x = 3,610.16 × 1,107.37
  4. Step 4: Simplify right side
    2,408.63x = 3,997,759.29
  5. Step 5: Solve for x
    x = 3,997,759.29/2,408.63
  6. Step 6: Final answer
    x = 1,659.76

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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.