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Finding the Fourth Proportional to 1,797.93, 2,698.29 and 824.09

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Solution

The fourth proportional to 1,797.93, 2,698.29 and 824.09 is: 1,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.93 : 2,698.29 = 824.09 : x
  2. Step 2: Convert to fraction form
    1,797.93/2,698.29 = 824.09/x
  3. Step 3: Cross multiply
    1,797.93x = 2,698.29 × 824.09
  4. Step 4: Simplify right side
    1,797.93x = 2,223,620.31
  5. Step 5: Solve for x
    x = 2,223,620.31/1,797.93
  6. Step 6: Final answer
    x = 1,236.77

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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.