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Finding the Fourth Proportional to 3,137.78, 4,329.41 and 2,019.09

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Solution

The fourth proportional to 3,137.78, 4,329.41 and 2,019.09 is: 2,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.78 : 4,329.41 = 2,019.09 : x
  2. Step 2: Convert to fraction form
    3,137.78/4,329.41 = 2,019.09/x
  3. Step 3: Cross multiply
    3,137.78x = 4,329.41 × 2,019.09
  4. Step 4: Simplify right side
    3,137.78x = 8,741,458.34
  5. Step 5: Solve for x
    x = 8,741,458.34/3,137.78
  6. Step 6: Final answer
    x = 2,785.88

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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.