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Finding the Fourth Proportional to 2,185.81, 3,265.19 and 1,966.08

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Solution

The fourth proportional to 2,185.81, 3,265.19 and 1,966.08 is: 2,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.81 : 3,265.19 = 1,966.08 : x
  2. Step 2: Convert to fraction form
    2,185.81/3,265.19 = 1,966.08/x
  3. Step 3: Cross multiply
    2,185.81x = 3,265.19 × 1,966.08
  4. Step 4: Simplify right side
    2,185.81x = 6,419,629.67
  5. Step 5: Solve for x
    x = 6,419,629.67/2,185.81
  6. Step 6: Final answer
    x = 2,936.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.