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Finding the Fourth Proportional to 2,135.35, 3,202.89 and 965.44

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Solution

The fourth proportional to 2,135.35, 3,202.89 and 965.44 is: 1,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.35 : 3,202.89 = 965.44 : x
  2. Step 2: Convert to fraction form
    2,135.35/3,202.89 = 965.44/x
  3. Step 3: Cross multiply
    2,135.35x = 3,202.89 × 965.44
  4. Step 4: Simplify right side
    2,135.35x = 3,092,198.12
  5. Step 5: Solve for x
    x = 3,092,198.12/2,135.35
  6. Step 6: Final answer
    x = 1,448.10

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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.