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Finding the Fourth Proportional to 1,795.36, 2,694.36 and 822.13

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Solution

The fourth proportional to 1,795.36, 2,694.36 and 822.13 is: 1,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.36 : 2,694.36 = 822.13 : x
  2. Step 2: Convert to fraction form
    1,795.36/2,694.36 = 822.13/x
  3. Step 3: Cross multiply
    1,795.36x = 2,694.36 × 822.13
  4. Step 4: Simplify right side
    1,795.36x = 2,215,114.19
  5. Step 5: Solve for x
    x = 2,215,114.19/1,795.36
  6. Step 6: Final answer
    x = 1,233.80

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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.