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Finding the Fourth Proportional to 2,080.62, 3,117.83 and 1,896.21

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Solution

The fourth proportional to 2,080.62, 3,117.83 and 1,896.21 is: 2,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.62 : 3,117.83 = 1,896.21 : x
  2. Step 2: Convert to fraction form
    2,080.62/3,117.83 = 1,896.21/x
  3. Step 3: Cross multiply
    2,080.62x = 3,117.83 × 1,896.21
  4. Step 4: Simplify right side
    2,080.62x = 5,912,050.94
  5. Step 5: Solve for x
    x = 5,912,050.94/2,080.62
  6. Step 6: Final answer
    x = 2,841.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.