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Finding the Fourth Proportional to 2,163.84, 2,986.20 and 1,219.57

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Solution

The fourth proportional to 2,163.84, 2,986.20 and 1,219.57 is: 1,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.84 : 2,986.20 = 1,219.57 : x
  2. Step 2: Convert to fraction form
    2,163.84/2,986.20 = 1,219.57/x
  3. Step 3: Cross multiply
    2,163.84x = 2,986.20 × 1,219.57
  4. Step 4: Simplify right side
    2,163.84x = 3,641,879.93
  5. Step 5: Solve for x
    x = 3,641,879.93/2,163.84
  6. Step 6: Final answer
    x = 1,683.06

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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.