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Finding the Fourth Proportional to 2,185.83, 3,016.50 and 1,191.18

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Solution

The fourth proportional to 2,185.83, 3,016.50 and 1,191.18 is: 1,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.83 : 3,016.50 = 1,191.18 : x
  2. Step 2: Convert to fraction form
    2,185.83/3,016.50 = 1,191.18/x
  3. Step 3: Cross multiply
    2,185.83x = 3,016.50 × 1,191.18
  4. Step 4: Simplify right side
    2,185.83x = 3,593,194.47
  5. Step 5: Solve for x
    x = 3,593,194.47/2,185.83
  6. Step 6: Final answer
    x = 1,643.86

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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.