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Finding the Fourth Proportional to 2,135.96, 3,201.66 and 965.84

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Solution

The fourth proportional to 2,135.96, 3,201.66 and 965.84 is: 1,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.96 : 3,201.66 = 965.84 : x
  2. Step 2: Convert to fraction form
    2,135.96/3,201.66 = 965.84/x
  3. Step 3: Cross multiply
    2,135.96x = 3,201.66 × 965.84
  4. Step 4: Simplify right side
    2,135.96x = 3,092,291.29
  5. Step 5: Solve for x
    x = 3,092,291.29/2,135.96
  6. Step 6: Final answer
    x = 1,447.73

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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.