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Finding the Fourth Proportional to 1,311.72, 1,969.92 and 1,170.60

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Solution

The fourth proportional to 1,311.72, 1,969.92 and 1,170.60 is: 1,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.72 : 1,969.92 = 1,170.60 : x
  2. Step 2: Convert to fraction form
    1,311.72/1,969.92 = 1,170.60/x
  3. Step 3: Cross multiply
    1,311.72x = 1,969.92 × 1,170.60
  4. Step 4: Simplify right side
    1,311.72x = 2,305,988.35
  5. Step 5: Solve for x
    x = 2,305,988.35/1,311.72
  6. Step 6: Final answer
    x = 1,757.99

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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.