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Finding the Fourth Proportional to 1,465.78, 2,198.94 and 1,194.25

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Solution

The fourth proportional to 1,465.78, 2,198.94 and 1,194.25 is: 1,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.78 : 2,198.94 = 1,194.25 : x
  2. Step 2: Convert to fraction form
    1,465.78/2,198.94 = 1,194.25/x
  3. Step 3: Cross multiply
    1,465.78x = 2,198.94 × 1,194.25
  4. Step 4: Simplify right side
    1,465.78x = 2,626,084.10
  5. Step 5: Solve for x
    x = 2,626,084.10/1,465.78
  6. Step 6: Final answer
    x = 1,791.59

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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.