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Finding the Fourth Proportional to 2,080.69, 3,120.27 and 847.43

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Solution

The fourth proportional to 2,080.69, 3,120.27 and 847.43 is: 1,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.69 : 3,120.27 = 847.43 : x
  2. Step 2: Convert to fraction form
    2,080.69/3,120.27 = 847.43/x
  3. Step 3: Cross multiply
    2,080.69x = 3,120.27 × 847.43
  4. Step 4: Simplify right side
    2,080.69x = 2,644,210.41
  5. Step 5: Solve for x
    x = 2,644,210.41/2,080.69
  6. Step 6: Final answer
    x = 1,270.83

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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.