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Finding the Fourth Proportional to 1,824.30, 2,735.46 and 728.34

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Solution

The fourth proportional to 1,824.30, 2,735.46 and 728.34 is: 1,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.30 : 2,735.46 = 728.34 : x
  2. Step 2: Convert to fraction form
    1,824.30/2,735.46 = 728.34/x
  3. Step 3: Cross multiply
    1,824.30x = 2,735.46 × 728.34
  4. Step 4: Simplify right side
    1,824.30x = 1,992,344.94
  5. Step 5: Solve for x
    x = 1,992,344.94/1,824.30
  6. Step 6: Final answer
    x = 1,092.11

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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.