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Finding the Fourth Proportional to 1,825.35, 2,738.02 and 729.97

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Solution

The fourth proportional to 1,825.35, 2,738.02 and 729.97 is: 1,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.35 : 2,738.02 = 729.97 : x
  2. Step 2: Convert to fraction form
    1,825.35/2,738.02 = 729.97/x
  3. Step 3: Cross multiply
    1,825.35x = 2,738.02 × 729.97
  4. Step 4: Simplify right side
    1,825.35x = 1,998,655.12
  5. Step 5: Solve for x
    x = 1,998,655.12/1,825.35
  6. Step 6: Final answer
    x = 1,094.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.