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Finding the Fourth Proportional to 1,294.44, 1,941.69 and 1,194.15

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Solution

The fourth proportional to 1,294.44, 1,941.69 and 1,194.15 is: 1,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.44 : 1,941.69 = 1,194.15 : x
  2. Step 2: Convert to fraction form
    1,294.44/1,941.69 = 1,194.15/x
  3. Step 3: Cross multiply
    1,294.44x = 1,941.69 × 1,194.15
  4. Step 4: Simplify right side
    1,294.44x = 2,318,669.11
  5. Step 5: Solve for x
    x = 2,318,669.11/1,294.44
  6. Step 6: Final answer
    x = 1,791.25

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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.