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Finding the Fourth Proportional to 2,185.96, 3,016.63 and 1,191.24

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Solution

The fourth proportional to 2,185.96, 3,016.63 and 1,191.24 is: 1,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.96 : 3,016.63 = 1,191.24 : x
  2. Step 2: Convert to fraction form
    2,185.96/3,016.63 = 1,191.24/x
  3. Step 3: Cross multiply
    2,185.96x = 3,016.63 × 1,191.24
  4. Step 4: Simplify right side
    2,185.96x = 3,593,531.81
  5. Step 5: Solve for x
    x = 3,593,531.81/2,185.96
  6. Step 6: Final answer
    x = 1,643.91

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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.