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Finding the Fourth Proportional to 2,033.94, 3,050.52 and 717.86

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Solution

The fourth proportional to 2,033.94, 3,050.52 and 717.86 is: 1,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.94 : 3,050.52 = 717.86 : x
  2. Step 2: Convert to fraction form
    2,033.94/3,050.52 = 717.86/x
  3. Step 3: Cross multiply
    2,033.94x = 3,050.52 × 717.86
  4. Step 4: Simplify right side
    2,033.94x = 2,189,846.29
  5. Step 5: Solve for x
    x = 2,189,846.29/2,033.94
  6. Step 6: Final answer
    x = 1,076.65

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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.