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Finding the Fourth Proportional to 2,645.08, 3,651.42 and 1,984.12

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Solution

The fourth proportional to 2,645.08, 3,651.42 and 1,984.12 is: 2,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.08 : 3,651.42 = 1,984.12 : x
  2. Step 2: Convert to fraction form
    2,645.08/3,651.42 = 1,984.12/x
  3. Step 3: Cross multiply
    2,645.08x = 3,651.42 × 1,984.12
  4. Step 4: Simplify right side
    2,645.08x = 7,244,855.45
  5. Step 5: Solve for x
    x = 7,244,855.45/2,645.08
  6. Step 6: Final answer
    x = 2,738.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.