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Finding the Fourth Proportional to 2,134.58, 3,202.26 and 965.13

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Solution

The fourth proportional to 2,134.58, 3,202.26 and 965.13 is: 1,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.58 : 3,202.26 = 965.13 : x
  2. Step 2: Convert to fraction form
    2,134.58/3,202.26 = 965.13/x
  3. Step 3: Cross multiply
    2,134.58x = 3,202.26 × 965.13
  4. Step 4: Simplify right side
    2,134.58x = 3,090,607.99
  5. Step 5: Solve for x
    x = 3,090,607.99/2,134.58
  6. Step 6: Final answer
    x = 1,447.88

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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.