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Finding the Fourth Proportional to 2,185.82, 3,016.51 and 1,241.66

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Solution

The fourth proportional to 2,185.82, 3,016.51 and 1,241.66 is: 1,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.82 : 3,016.51 = 1,241.66 : x
  2. Step 2: Convert to fraction form
    2,185.82/3,016.51 = 1,241.66/x
  3. Step 3: Cross multiply
    2,185.82x = 3,016.51 × 1,241.66
  4. Step 4: Simplify right side
    2,185.82x = 3,745,479.81
  5. Step 5: Solve for x
    x = 3,745,479.81/2,185.82
  6. Step 6: Final answer
    x = 1,713.54

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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.