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Finding the Fourth Proportional to 2,185.85, 3,016.49 and 1,191.15

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Solution

The fourth proportional to 2,185.85, 3,016.49 and 1,191.15 is: 1,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.85 : 3,016.49 = 1,191.15 : x
  2. Step 2: Convert to fraction form
    2,185.85/3,016.49 = 1,191.15/x
  3. Step 3: Cross multiply
    2,185.85x = 3,016.49 × 1,191.15
  4. Step 4: Simplify right side
    2,185.85x = 3,593,086.11
  5. Step 5: Solve for x
    x = 3,593,086.11/2,185.85
  6. Step 6: Final answer
    x = 1,643.80

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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.