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Finding the Fourth Proportional to 1,313.82, 1,960.74 and 1,168.02

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Solution

The fourth proportional to 1,313.82, 1,960.74 and 1,168.02 is: 1,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.82 : 1,960.74 = 1,168.02 : x
  2. Step 2: Convert to fraction form
    1,313.82/1,960.74 = 1,168.02/x
  3. Step 3: Cross multiply
    1,313.82x = 1,960.74 × 1,168.02
  4. Step 4: Simplify right side
    1,313.82x = 2,290,183.53
  5. Step 5: Solve for x
    x = 2,290,183.53/1,313.82
  6. Step 6: Final answer
    x = 1,743.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.