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Finding the Fourth Proportional to 2,080.68, 3,121.04 and 1,204.53

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Solution

The fourth proportional to 2,080.68, 3,121.04 and 1,204.53 is: 1,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.68 : 3,121.04 = 1,204.53 : x
  2. Step 2: Convert to fraction form
    2,080.68/3,121.04 = 1,204.53/x
  3. Step 3: Cross multiply
    2,080.68x = 3,121.04 × 1,204.53
  4. Step 4: Simplify right side
    2,080.68x = 3,759,386.31
  5. Step 5: Solve for x
    x = 3,759,386.31/2,080.68
  6. Step 6: Final answer
    x = 1,806.81

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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.