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Finding the Fourth Proportional to 2,019.21, 3,027.84 and 1,197.28

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Solution

The fourth proportional to 2,019.21, 3,027.84 and 1,197.28 is: 1,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.21 : 3,027.84 = 1,197.28 : x
  2. Step 2: Convert to fraction form
    2,019.21/3,027.84 = 1,197.28/x
  3. Step 3: Cross multiply
    2,019.21x = 3,027.84 × 1,197.28
  4. Step 4: Simplify right side
    2,019.21x = 3,625,172.28
  5. Step 5: Solve for x
    x = 3,625,172.28/2,019.21
  6. Step 6: Final answer
    x = 1,795.34

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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.