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Finding the Fourth Proportional to 2,610.05, 3,912.84 and 966.29

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Solution

The fourth proportional to 2,610.05, 3,912.84 and 966.29 is: 1,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.05 : 3,912.84 = 966.29 : x
  2. Step 2: Convert to fraction form
    2,610.05/3,912.84 = 966.29/x
  3. Step 3: Cross multiply
    2,610.05x = 3,912.84 × 966.29
  4. Step 4: Simplify right side
    2,610.05x = 3,780,918.60
  5. Step 5: Solve for x
    x = 3,780,918.60/2,610.05
  6. Step 6: Final answer
    x = 1,448.60

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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.