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Finding the Fourth Proportional to 2,192.78, 3,289.79 and 1,219.57

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Solution

The fourth proportional to 2,192.78, 3,289.79 and 1,219.57 is: 1,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.78 : 3,289.79 = 1,219.57 : x
  2. Step 2: Convert to fraction form
    2,192.78/3,289.79 = 1,219.57/x
  3. Step 3: Cross multiply
    2,192.78x = 3,289.79 × 1,219.57
  4. Step 4: Simplify right side
    2,192.78x = 4,012,114.87
  5. Step 5: Solve for x
    x = 4,012,114.87/2,192.78
  6. Step 6: Final answer
    x = 1,829.69

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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.