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Finding the Fourth Proportional to 1,822.96, 2,736.06 and 729.46

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Solution

The fourth proportional to 1,822.96, 2,736.06 and 729.46 is: 1,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.96 : 2,736.06 = 729.46 : x
  2. Step 2: Convert to fraction form
    1,822.96/2,736.06 = 729.46/x
  3. Step 3: Cross multiply
    1,822.96x = 2,736.06 × 729.46
  4. Step 4: Simplify right side
    1,822.96x = 1,995,846.33
  5. Step 5: Solve for x
    x = 1,995,846.33/1,822.96
  6. Step 6: Final answer
    x = 1,094.84

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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.