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Finding the Fourth Proportional to 1,796.80, 2,693.76 and 823.36

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Solution

The fourth proportional to 1,796.80, 2,693.76 and 823.36 is: 1,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.80 : 2,693.76 = 823.36 : x
  2. Step 2: Convert to fraction form
    1,796.80/2,693.76 = 823.36/x
  3. Step 3: Cross multiply
    1,796.80x = 2,693.76 × 823.36
  4. Step 4: Simplify right side
    1,796.80x = 2,217,934.23
  5. Step 5: Solve for x
    x = 2,217,934.23/1,796.80
  6. Step 6: Final answer
    x = 1,234.38

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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.