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Finding the Fourth Proportional to 2,138.19, 3,201.81 and 1,212.36

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Solution

The fourth proportional to 2,138.19, 3,201.81 and 1,212.36 is: 1,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.19 : 3,201.81 = 1,212.36 : x
  2. Step 2: Convert to fraction form
    2,138.19/3,201.81 = 1,212.36/x
  3. Step 3: Cross multiply
    2,138.19x = 3,201.81 × 1,212.36
  4. Step 4: Simplify right side
    2,138.19x = 3,881,746.37
  5. Step 5: Solve for x
    x = 3,881,746.37/2,138.19
  6. Step 6: Final answer
    x = 1,815.44

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