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Finding the Fourth Proportional to 2,080.88, 3,119.46 and 764.33

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Solution

The fourth proportional to 2,080.88, 3,119.46 and 764.33 is: 1,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.88 : 3,119.46 = 764.33 : x
  2. Step 2: Convert to fraction form
    2,080.88/3,119.46 = 764.33/x
  3. Step 3: Cross multiply
    2,080.88x = 3,119.46 × 764.33
  4. Step 4: Simplify right side
    2,080.88x = 2,384,281.26
  5. Step 5: Solve for x
    x = 2,384,281.26/2,080.88
  6. Step 6: Final answer
    x = 1,145.81

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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.