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Finding the Fourth Proportional to 2,997.75, 4,137.43 and 1,879.65

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Solution

The fourth proportional to 2,997.75, 4,137.43 and 1,879.65 is: 2,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.75 : 4,137.43 = 1,879.65 : x
  2. Step 2: Convert to fraction form
    2,997.75/4,137.43 = 1,879.65/x
  3. Step 3: Cross multiply
    2,997.75x = 4,137.43 × 1,879.65
  4. Step 4: Simplify right side
    2,997.75x = 7,776,910.90
  5. Step 5: Solve for x
    x = 7,776,910.90/2,997.75
  6. Step 6: Final answer
    x = 2,594.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.