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Finding the Fourth Proportional to 2,185.69, 3,016.26 and 1,190.97

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Solution

The fourth proportional to 2,185.69, 3,016.26 and 1,190.97 is: 1,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.69 : 3,016.26 = 1,190.97 : x
  2. Step 2: Convert to fraction form
    2,185.69/3,016.26 = 1,190.97/x
  3. Step 3: Cross multiply
    2,185.69x = 3,016.26 × 1,190.97
  4. Step 4: Simplify right side
    2,185.69x = 3,592,275.17
  5. Step 5: Solve for x
    x = 3,592,275.17/2,185.69
  6. Step 6: Final answer
    x = 1,643.54

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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.