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Finding the Fourth Proportional to 2,185.86, 3,016.42 and 1,191.12

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Solution

The fourth proportional to 2,185.86, 3,016.42 and 1,191.12 is: 1,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.86 : 3,016.42 = 1,191.12 : x
  2. Step 2: Convert to fraction form
    2,185.86/3,016.42 = 1,191.12/x
  3. Step 3: Cross multiply
    2,185.86x = 3,016.42 × 1,191.12
  4. Step 4: Simplify right side
    2,185.86x = 3,592,918.19
  5. Step 5: Solve for x
    x = 3,592,918.19/2,185.86
  6. Step 6: Final answer
    x = 1,643.71

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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.