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Finding the Fourth Proportional to 1,196.92, 1,793.46 and 941.56

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Solution

The fourth proportional to 1,196.92, 1,793.46 and 941.56 is: 1,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.92 : 1,793.46 = 941.56 : x
  2. Step 2: Convert to fraction form
    1,196.92/1,793.46 = 941.56/x
  3. Step 3: Cross multiply
    1,196.92x = 1,793.46 × 941.56
  4. Step 4: Simplify right side
    1,196.92x = 1,688,650.20
  5. Step 5: Solve for x
    x = 1,688,650.20/1,196.92
  6. Step 6: Final answer
    x = 1,410.83

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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.