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Finding the Fourth Proportional to 1,796.99, 2,695.79 and 823.18

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Solution

The fourth proportional to 1,796.99, 2,695.79 and 823.18 is: 1,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.99 : 2,695.79 = 823.18 : x
  2. Step 2: Convert to fraction form
    1,796.99/2,695.79 = 823.18/x
  3. Step 3: Cross multiply
    1,796.99x = 2,695.79 × 823.18
  4. Step 4: Simplify right side
    1,796.99x = 2,219,108.99
  5. Step 5: Solve for x
    x = 2,219,108.99/1,796.99
  6. Step 6: Final answer
    x = 1,234.90

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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.