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Finding the Fourth Proportional to 2,190.91, 3,023.46 and 1,196.20

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Solution

The fourth proportional to 2,190.91, 3,023.46 and 1,196.20 is: 1,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.91 : 3,023.46 = 1,196.20 : x
  2. Step 2: Convert to fraction form
    2,190.91/3,023.46 = 1,196.20/x
  3. Step 3: Cross multiply
    2,190.91x = 3,023.46 × 1,196.20
  4. Step 4: Simplify right side
    2,190.91x = 3,616,662.85
  5. Step 5: Solve for x
    x = 3,616,662.85/2,190.91
  6. Step 6: Final answer
    x = 1,650.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.