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Finding the Fourth Proportional to 2,137.97, 3,221.55 and 1,902.26

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Solution

The fourth proportional to 2,137.97, 3,221.55 and 1,902.26 is: 2,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.97 : 3,221.55 = 1,902.26 : x
  2. Step 2: Convert to fraction form
    2,137.97/3,221.55 = 1,902.26/x
  3. Step 3: Cross multiply
    2,137.97x = 3,221.55 × 1,902.26
  4. Step 4: Simplify right side
    2,137.97x = 6,128,225.70
  5. Step 5: Solve for x
    x = 6,128,225.70/2,137.97
  6. Step 6: Final answer
    x = 2,866.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.