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Finding the Fourth Proportional to 2,185.26, 3,274.70 and 1,015.62

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Solution

The fourth proportional to 2,185.26, 3,274.70 and 1,015.62 is: 1,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.26 : 3,274.70 = 1,015.62 : x
  2. Step 2: Convert to fraction form
    2,185.26/3,274.70 = 1,015.62/x
  3. Step 3: Cross multiply
    2,185.26x = 3,274.70 × 1,015.62
  4. Step 4: Simplify right side
    2,185.26x = 3,325,850.81
  5. Step 5: Solve for x
    x = 3,325,850.81/2,185.26
  6. Step 6: Final answer
    x = 1,521.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.