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Finding the Fourth Proportional to 1,196.15, 1,794.22 and 1,168.81

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Solution

The fourth proportional to 1,196.15, 1,794.22 and 1,168.81 is: 1,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.15 : 1,794.22 = 1,168.81 : x
  2. Step 2: Convert to fraction form
    1,196.15/1,794.22 = 1,168.81/x
  3. Step 3: Cross multiply
    1,196.15x = 1,794.22 × 1,168.81
  4. Step 4: Simplify right side
    1,196.15x = 2,097,094.87
  5. Step 5: Solve for x
    x = 2,097,094.87/1,196.15
  6. Step 6: Final answer
    x = 1,753.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.