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Finding the Fourth Proportional to 2,163.99, 2,986.46 and 1,219.93

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Solution

The fourth proportional to 2,163.99, 2,986.46 and 1,219.93 is: 1,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.99 : 2,986.46 = 1,219.93 : x
  2. Step 2: Convert to fraction form
    2,163.99/2,986.46 = 1,219.93/x
  3. Step 3: Cross multiply
    2,163.99x = 2,986.46 × 1,219.93
  4. Step 4: Simplify right side
    2,163.99x = 3,643,272.15
  5. Step 5: Solve for x
    x = 3,643,272.15/2,163.99
  6. Step 6: Final answer
    x = 1,683.59

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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.