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Finding the Fourth Proportional to 2,378.97, 3,568.46 and 1,080.54

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Solution

The fourth proportional to 2,378.97, 3,568.46 and 1,080.54 is: 1,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.97 : 3,568.46 = 1,080.54 : x
  2. Step 2: Convert to fraction form
    2,378.97/3,568.46 = 1,080.54/x
  3. Step 3: Cross multiply
    2,378.97x = 3,568.46 × 1,080.54
  4. Step 4: Simplify right side
    2,378.97x = 3,855,858.37
  5. Step 5: Solve for x
    x = 3,855,858.37/2,378.97
  6. Step 6: Final answer
    x = 1,620.81

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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.