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Finding the Fourth Proportional to 2,068.26, 3,104.64 and 1,194

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Solution

The fourth proportional to 2,068.26, 3,104.64 and 1,194 is: 1,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.26 : 3,104.64 = 1,194 : x
  2. Step 2: Convert to fraction form
    2,068.26/3,104.64 = 1,194/x
  3. Step 3: Cross multiply
    2,068.26x = 3,104.64 × 1,194
  4. Step 4: Simplify right side
    2,068.26x = 3,706,940.16
  5. Step 5: Solve for x
    x = 3,706,940.16/2,068.26
  6. Step 6: Final answer
    x = 1,792.30

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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.