Home / 1,797.14-2,695.38-823.02

Finding the Fourth Proportional to 1,797.14, 2,695.38 and 823.02

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Solution

The fourth proportional to 1,797.14, 2,695.38 and 823.02 is: 1,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.14 : 2,695.38 = 823.02 : x
  2. Step 2: Convert to fraction form
    1,797.14/2,695.38 = 823.02/x
  3. Step 3: Cross multiply
    1,797.14x = 2,695.38 × 823.02
  4. Step 4: Simplify right side
    1,797.14x = 2,218,351.65
  5. Step 5: Solve for x
    x = 2,218,351.65/1,797.14
  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.