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Finding the Fourth Proportional to 2,080.80, 3,119.90 and 693.78

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Solution

The fourth proportional to 2,080.80, 3,119.90 and 693.78 is: 1,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.80 : 3,119.90 = 693.78 : x
  2. Step 2: Convert to fraction form
    2,080.80/3,119.90 = 693.78/x
  3. Step 3: Cross multiply
    2,080.80x = 3,119.90 × 693.78
  4. Step 4: Simplify right side
    2,080.80x = 2,164,520.75
  5. Step 5: Solve for x
    x = 2,164,520.75/2,080.80
  6. Step 6: Final answer
    x = 1,040.23

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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.