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Finding the Fourth Proportional to 2,185.73, 3,016.20 and 1,191.01

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Solution

The fourth proportional to 2,185.73, 3,016.20 and 1,191.01 is: 1,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.73 : 3,016.20 = 1,191.01 : x
  2. Step 2: Convert to fraction form
    2,185.73/3,016.20 = 1,191.01/x
  3. Step 3: Cross multiply
    2,185.73x = 3,016.20 × 1,191.01
  4. Step 4: Simplify right side
    2,185.73x = 3,592,309.28
  5. Step 5: Solve for x
    x = 3,592,309.28/2,185.73
  6. Step 6: Final answer
    x = 1,643.53

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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.