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Finding the Fourth Proportional to 2,071.98, 3,108.11 and 685.26

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Solution

The fourth proportional to 2,071.98, 3,108.11 and 685.26 is: 1,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.98 : 3,108.11 = 685.26 : x
  2. Step 2: Convert to fraction form
    2,071.98/3,108.11 = 685.26/x
  3. Step 3: Cross multiply
    2,071.98x = 3,108.11 × 685.26
  4. Step 4: Simplify right side
    2,071.98x = 2,129,860.03
  5. Step 5: Solve for x
    x = 2,129,860.03/2,071.98
  6. Step 6: Final answer
    x = 1,027.93

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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.