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Finding the Fourth Proportional to 1,311.76, 1,975.45 and 1,183.24

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Solution

The fourth proportional to 1,311.76, 1,975.45 and 1,183.24 is: 1,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.76 : 1,975.45 = 1,183.24 : x
  2. Step 2: Convert to fraction form
    1,311.76/1,975.45 = 1,183.24/x
  3. Step 3: Cross multiply
    1,311.76x = 1,975.45 × 1,183.24
  4. Step 4: Simplify right side
    1,311.76x = 2,337,431.46
  5. Step 5: Solve for x
    x = 2,337,431.46/1,311.76
  6. Step 6: Final answer
    x = 1,781.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.