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Finding the Fourth Proportional to 2,080.14, 3,119.87 and 693.21

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Solution

The fourth proportional to 2,080.14, 3,119.87 and 693.21 is: 1,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.14 : 3,119.87 = 693.21 : x
  2. Step 2: Convert to fraction form
    2,080.14/3,119.87 = 693.21/x
  3. Step 3: Cross multiply
    2,080.14x = 3,119.87 × 693.21
  4. Step 4: Simplify right side
    2,080.14x = 2,162,721.62
  5. Step 5: Solve for x
    x = 2,162,721.62/2,080.14
  6. Step 6: Final answer
    x = 1,039.70

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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.