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Finding the Fourth Proportional to 2,729.09, 4,096.07 and 2,034.11

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Solution

The fourth proportional to 2,729.09, 4,096.07 and 2,034.11 is: 3,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.09 : 4,096.07 = 2,034.11 : x
  2. Step 2: Convert to fraction form
    2,729.09/4,096.07 = 2,034.11/x
  3. Step 3: Cross multiply
    2,729.09x = 4,096.07 × 2,034.11
  4. Step 4: Simplify right side
    2,729.09x = 8,331,864.65
  5. Step 5: Solve for x
    x = 8,331,864.65/2,729.09
  6. Step 6: Final answer
    x = 3,052.98

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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.