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Finding the Fourth Proportional to 2,185.58, 3,016.09 and 1,190.84

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Solution

The fourth proportional to 2,185.58, 3,016.09 and 1,190.84 is: 1,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.58 : 3,016.09 = 1,190.84 : x
  2. Step 2: Convert to fraction form
    2,185.58/3,016.09 = 1,190.84/x
  3. Step 3: Cross multiply
    2,185.58x = 3,016.09 × 1,190.84
  4. Step 4: Simplify right side
    2,185.58x = 3,591,680.62
  5. Step 5: Solve for x
    x = 3,591,680.62/2,185.58
  6. Step 6: Final answer
    x = 1,643.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.