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Finding the Fourth Proportional to 2,845, 3,926.26 and 1,603.08

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Solution

The fourth proportional to 2,845, 3,926.26 and 1,603.08 is: 2,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845 : 3,926.26 = 1,603.08 : x
  2. Step 2: Convert to fraction form
    2,845/3,926.26 = 1,603.08/x
  3. Step 3: Cross multiply
    2,845x = 3,926.26 × 1,603.08
  4. Step 4: Simplify right side
    2,845x = 6,294,108.88
  5. Step 5: Solve for x
    x = 6,294,108.88/2,845
  6. Step 6: Final answer
    x = 2,212.34

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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.