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Finding the Fourth Proportional to 1,796.10, 2,694.15 and 1,662.45

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Solution

The fourth proportional to 1,796.10, 2,694.15 and 1,662.45 is: 2,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.10 : 2,694.15 = 1,662.45 : x
  2. Step 2: Convert to fraction form
    1,796.10/2,694.15 = 1,662.45/x
  3. Step 3: Cross multiply
    1,796.10x = 2,694.15 × 1,662.45
  4. Step 4: Simplify right side
    1,796.10x = 4,478,889.67
  5. Step 5: Solve for x
    x = 4,478,889.67/1,796.10
  6. Step 6: Final answer
    x = 2,493.68

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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.