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Finding the Fourth Proportional to 2,408.63, 3,616.04 and 1,313.73

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Solution

The fourth proportional to 2,408.63, 3,616.04 and 1,313.73 is: 1,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.63 : 3,616.04 = 1,313.73 : x
  2. Step 2: Convert to fraction form
    2,408.63/3,616.04 = 1,313.73/x
  3. Step 3: Cross multiply
    2,408.63x = 3,616.04 × 1,313.73
  4. Step 4: Simplify right side
    2,408.63x = 4,750,493.66
  5. Step 5: Solve for x
    x = 4,750,493.66/2,408.63
  6. Step 6: Final answer
    x = 1,972.28

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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.