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Finding the Fourth Proportional to 2,610.42, 3,912.12 and 965.40

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Solution

The fourth proportional to 2,610.42, 3,912.12 and 965.40 is: 1,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.42 : 3,912.12 = 965.40 : x
  2. Step 2: Convert to fraction form
    2,610.42/3,912.12 = 965.40/x
  3. Step 3: Cross multiply
    2,610.42x = 3,912.12 × 965.40
  4. Step 4: Simplify right side
    2,610.42x = 3,776,760.65
  5. Step 5: Solve for x
    x = 3,776,760.65/2,610.42
  6. Step 6: Final answer
    x = 1,446.80

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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.