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Finding the Fourth Proportional to 2,163.60, 3,247.59 and 1,918.32

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Solution

The fourth proportional to 2,163.60, 3,247.59 and 1,918.32 is: 2,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.60 : 3,247.59 = 1,918.32 : x
  2. Step 2: Convert to fraction form
    2,163.60/3,247.59 = 1,918.32/x
  3. Step 3: Cross multiply
    2,163.60x = 3,247.59 × 1,918.32
  4. Step 4: Simplify right side
    2,163.60x = 6,229,916.85
  5. Step 5: Solve for x
    x = 6,229,916.85/2,163.60
  6. Step 6: Final answer
    x = 2,879.42

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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.