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Finding the Fourth Proportional to 2,163.62, 3,246.36 and 847.77

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Solution

The fourth proportional to 2,163.62, 3,246.36 and 847.77 is: 1,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.62 : 3,246.36 = 847.77 : x
  2. Step 2: Convert to fraction form
    2,163.62/3,246.36 = 847.77/x
  3. Step 3: Cross multiply
    2,163.62x = 3,246.36 × 847.77
  4. Step 4: Simplify right side
    2,163.62x = 2,752,166.62
  5. Step 5: Solve for x
    x = 2,752,166.62/2,163.62
  6. Step 6: Final answer
    x = 1,272.02

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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.