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Finding the Fourth Proportional to 2,011.98, 3,015.63 and 1,190.95

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Solution

The fourth proportional to 2,011.98, 3,015.63 and 1,190.95 is: 1,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.98 : 3,015.63 = 1,190.95 : x
  2. Step 2: Convert to fraction form
    2,011.98/3,015.63 = 1,190.95/x
  3. Step 3: Cross multiply
    2,011.98x = 3,015.63 × 1,190.95
  4. Step 4: Simplify right side
    2,011.98x = 3,591,449.47
  5. Step 5: Solve for x
    x = 3,591,449.47/2,011.98
  6. Step 6: Final answer
    x = 1,785.03

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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.