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Finding the Fourth Proportional to 2,034.11, 3,050.09 and 717.61

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Solution

The fourth proportional to 2,034.11, 3,050.09 and 717.61 is: 1,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.11 : 3,050.09 = 717.61 : x
  2. Step 2: Convert to fraction form
    2,034.11/3,050.09 = 717.61/x
  3. Step 3: Cross multiply
    2,034.11x = 3,050.09 × 717.61
  4. Step 4: Simplify right side
    2,034.11x = 2,188,763.87
  5. Step 5: Solve for x
    x = 2,188,763.87/2,034.11
  6. Step 6: Final answer
    x = 1,076.03

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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.