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Finding the Fourth Proportional to 2,606.21, 3,910.85 and 963.90

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Solution

The fourth proportional to 2,606.21, 3,910.85 and 963.90 is: 1,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.21 : 3,910.85 = 963.90 : x
  2. Step 2: Convert to fraction form
    2,606.21/3,910.85 = 963.90/x
  3. Step 3: Cross multiply
    2,606.21x = 3,910.85 × 963.90
  4. Step 4: Simplify right side
    2,606.21x = 3,769,667.11
  5. Step 5: Solve for x
    x = 3,769,667.11/2,606.21
  6. Step 6: Final answer
    x = 1,446.42

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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.