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Finding the Fourth Proportional to 1,824.85, 2,738.09 and 730.03

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Solution

The fourth proportional to 1,824.85, 2,738.09 and 730.03 is: 1,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.85 : 2,738.09 = 730.03 : x
  2. Step 2: Convert to fraction form
    1,824.85/2,738.09 = 730.03/x
  3. Step 3: Cross multiply
    1,824.85x = 2,738.09 × 730.03
  4. Step 4: Simplify right side
    1,824.85x = 1,998,887.84
  5. Step 5: Solve for x
    x = 1,998,887.84/1,824.85
  6. Step 6: Final answer
    x = 1,095.37

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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.