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Finding the Fourth Proportional to 1,824.53, 2,736.99 and 728.87

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Solution

The fourth proportional to 1,824.53, 2,736.99 and 728.87 is: 1,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.53 : 2,736.99 = 728.87 : x
  2. Step 2: Convert to fraction form
    1,824.53/2,736.99 = 728.87/x
  3. Step 3: Cross multiply
    1,824.53x = 2,736.99 × 728.87
  4. Step 4: Simplify right side
    1,824.53x = 1,994,896.22
  5. Step 5: Solve for x
    x = 1,994,896.22/1,824.53
  6. Step 6: Final answer
    x = 1,093.38

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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.