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Finding the Fourth Proportional to 2,194.21, 3,290.73 and 895.42

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Solution

The fourth proportional to 2,194.21, 3,290.73 and 895.42 is: 1,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.21 : 3,290.73 = 895.42 : x
  2. Step 2: Convert to fraction form
    2,194.21/3,290.73 = 895.42/x
  3. Step 3: Cross multiply
    2,194.21x = 3,290.73 × 895.42
  4. Step 4: Simplify right side
    2,194.21x = 2,946,585.46
  5. Step 5: Solve for x
    x = 2,946,585.46/2,194.21
  6. Step 6: Final answer
    x = 1,342.89

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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.