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Finding the Fourth Proportional to 1,825.36, 2,738.64 and 729.43

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Solution

The fourth proportional to 1,825.36, 2,738.64 and 729.43 is: 1,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.36 : 2,738.64 = 729.43 : x
  2. Step 2: Convert to fraction form
    1,825.36/2,738.64 = 729.43/x
  3. Step 3: Cross multiply
    1,825.36x = 2,738.64 × 729.43
  4. Step 4: Simplify right side
    1,825.36x = 1,997,646.18
  5. Step 5: Solve for x
    x = 1,997,646.18/1,825.36
  6. Step 6: Final answer
    x = 1,094.38

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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.