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Finding the Fourth Proportional to 3,104.60, 4,652.55 and 2,408.00

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Solution

The fourth proportional to 3,104.60, 4,652.55 and 2,408.00 is: 3,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.60 : 4,652.55 = 2,408.00 : x
  2. Step 2: Convert to fraction form
    3,104.60/4,652.55 = 2,408.00/x
  3. Step 3: Cross multiply
    3,104.60x = 4,652.55 × 2,408.00
  4. Step 4: Simplify right side
    3,104.60x = 11,203,317.14
  5. Step 5: Solve for x
    x = 11,203,317.14/3,104.60
  6. Step 6: Final answer
    x = 3,608.62

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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.