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Finding the Fourth Proportional to 2,138.54, 3,206.26 and 1,443.49

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Solution

The fourth proportional to 2,138.54, 3,206.26 and 1,443.49 is: 2,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.54 : 3,206.26 = 1,443.49 : x
  2. Step 2: Convert to fraction form
    2,138.54/3,206.26 = 1,443.49/x
  3. Step 3: Cross multiply
    2,138.54x = 3,206.26 × 1,443.49
  4. Step 4: Simplify right side
    2,138.54x = 4,628,207.95
  5. Step 5: Solve for x
    x = 4,628,207.95/2,138.54
  6. Step 6: Final answer
    x = 2,164.19

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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.