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Finding the Fourth Proportional to 2,185.97, 3,016.35 and 1,241.60

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Solution

The fourth proportional to 2,185.97, 3,016.35 and 1,241.60 is: 1,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.97 : 3,016.35 = 1,241.60 : x
  2. Step 2: Convert to fraction form
    2,185.97/3,016.35 = 1,241.60/x
  3. Step 3: Cross multiply
    2,185.97x = 3,016.35 × 1,241.60
  4. Step 4: Simplify right side
    2,185.97x = 3,745,085.08
  5. Step 5: Solve for x
    x = 3,745,085.08/2,185.97
  6. Step 6: Final answer
    x = 1,713.24

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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.