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Finding the Fourth Proportional to 2,708.53, 3,735.03 and 2,408.83

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Solution

The fourth proportional to 2,708.53, 3,735.03 and 2,408.83 is: 3,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.53 : 3,735.03 = 2,408.83 : x
  2. Step 2: Convert to fraction form
    2,708.53/3,735.03 = 2,408.83/x
  3. Step 3: Cross multiply
    2,708.53x = 3,735.03 × 2,408.83
  4. Step 4: Simplify right side
    2,708.53x = 8,997,052.31
  5. Step 5: Solve for x
    x = 8,997,052.31/2,708.53
  6. Step 6: Final answer
    x = 3,321.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.