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Finding the Fourth Proportional to 2,080.21, 3,121.86 and 984.58

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Solution

The fourth proportional to 2,080.21, 3,121.86 and 984.58 is: 1,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.21 : 3,121.86 = 984.58 : x
  2. Step 2: Convert to fraction form
    2,080.21/3,121.86 = 984.58/x
  3. Step 3: Cross multiply
    2,080.21x = 3,121.86 × 984.58
  4. Step 4: Simplify right side
    2,080.21x = 3,073,709.13
  5. Step 5: Solve for x
    x = 3,073,709.13/2,080.21
  6. Step 6: Final answer
    x = 1,477.59

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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.