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Finding the Fourth Proportional to 2,607.12, 3,912.20 and 964.79

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Solution

The fourth proportional to 2,607.12, 3,912.20 and 964.79 is: 1,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.12 : 3,912.20 = 964.79 : x
  2. Step 2: Convert to fraction form
    2,607.12/3,912.20 = 964.79/x
  3. Step 3: Cross multiply
    2,607.12x = 3,912.20 × 964.79
  4. Step 4: Simplify right side
    2,607.12x = 3,774,451.44
  5. Step 5: Solve for x
    x = 3,774,451.44/2,607.12
  6. Step 6: Final answer
    x = 1,447.75

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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.