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Finding the Fourth Proportional to 2,122.94, 3,179.82 and 1,889.22

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Solution

The fourth proportional to 2,122.94, 3,179.82 and 1,889.22 is: 2,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.94 : 3,179.82 = 1,889.22 : x
  2. Step 2: Convert to fraction form
    2,122.94/3,179.82 = 1,889.22/x
  3. Step 3: Cross multiply
    2,122.94x = 3,179.82 × 1,889.22
  4. Step 4: Simplify right side
    2,122.94x = 6,007,379.54
  5. Step 5: Solve for x
    x = 6,007,379.54/2,122.94
  6. Step 6: Final answer
    x = 2,829.75

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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.