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Finding the Fourth Proportional to 2,195.70, 3,292.20 and 1,270.80

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Solution

The fourth proportional to 2,195.70, 3,292.20 and 1,270.80 is: 1,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.70 : 3,292.20 = 1,270.80 : x
  2. Step 2: Convert to fraction form
    2,195.70/3,292.20 = 1,270.80/x
  3. Step 3: Cross multiply
    2,195.70x = 3,292.20 × 1,270.80
  4. Step 4: Simplify right side
    2,195.70x = 4,183,727.76
  5. Step 5: Solve for x
    x = 4,183,727.76/2,195.70
  6. Step 6: Final answer
    x = 1,905.42

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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.