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Finding the Fourth Proportional to 1,823.87, 2,736.07 and 728.15

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Solution

The fourth proportional to 1,823.87, 2,736.07 and 728.15 is: 1,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.87 : 2,736.07 = 728.15 : x
  2. Step 2: Convert to fraction form
    1,823.87/2,736.07 = 728.15/x
  3. Step 3: Cross multiply
    1,823.87x = 2,736.07 × 728.15
  4. Step 4: Simplify right side
    1,823.87x = 1,992,269.37
  5. Step 5: Solve for x
    x = 1,992,269.37/1,823.87
  6. Step 6: Final answer
    x = 1,092.33

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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.