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Finding the Fourth Proportional to 2,034.35, 3,050.79 and 717.75

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Solution

The fourth proportional to 2,034.35, 3,050.79 and 717.75 is: 1,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.35 : 3,050.79 = 717.75 : x
  2. Step 2: Convert to fraction form
    2,034.35/3,050.79 = 717.75/x
  3. Step 3: Cross multiply
    2,034.35x = 3,050.79 × 717.75
  4. Step 4: Simplify right side
    2,034.35x = 2,189,704.52
  5. Step 5: Solve for x
    x = 2,189,704.52/2,034.35
  6. Step 6: Final answer
    x = 1,076.37

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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.