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Finding the Fourth Proportional to 2,080.67, 3,121.47 and 694.15

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Solution

The fourth proportional to 2,080.67, 3,121.47 and 694.15 is: 1,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.67 : 3,121.47 = 694.15 : x
  2. Step 2: Convert to fraction form
    2,080.67/3,121.47 = 694.15/x
  3. Step 3: Cross multiply
    2,080.67x = 3,121.47 × 694.15
  4. Step 4: Simplify right side
    2,080.67x = 2,166,760.60
  5. Step 5: Solve for x
    x = 2,166,760.60/2,080.67
  6. Step 6: Final answer
    x = 1,041.38

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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.