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Finding the Fourth Proportional to 2,729.53, 4,099.92 and 2,596.79

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Solution

The fourth proportional to 2,729.53, 4,099.92 and 2,596.79 is: 3,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.53 : 4,099.92 = 2,596.79 : x
  2. Step 2: Convert to fraction form
    2,729.53/4,099.92 = 2,596.79/x
  3. Step 3: Cross multiply
    2,729.53x = 4,099.92 × 2,596.79
  4. Step 4: Simplify right side
    2,729.53x = 10,646,631.77
  5. Step 5: Solve for x
    x = 10,646,631.77/2,729.53
  6. Step 6: Final answer
    x = 3,900.53

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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.