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Finding the Fourth Proportional to 2,195.81, 3,294.17 and 1,271.60

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Solution

The fourth proportional to 2,195.81, 3,294.17 and 1,271.60 is: 1,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.81 : 3,294.17 = 1,271.60 : x
  2. Step 2: Convert to fraction form
    2,195.81/3,294.17 = 1,271.60/x
  3. Step 3: Cross multiply
    2,195.81x = 3,294.17 × 1,271.60
  4. Step 4: Simplify right side
    2,195.81x = 4,188,860.86
  5. Step 5: Solve for x
    x = 4,188,860.86/2,195.81
  6. Step 6: Final answer
    x = 1,907.66

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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.