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Finding the Fourth Proportional to 1,823.90, 2,736.94 and 728.10

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Solution

The fourth proportional to 1,823.90, 2,736.94 and 728.10 is: 1,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.90 : 2,736.94 = 728.10 : x
  2. Step 2: Convert to fraction form
    1,823.90/2,736.94 = 728.10/x
  3. Step 3: Cross multiply
    1,823.90x = 2,736.94 × 728.10
  4. Step 4: Simplify right side
    1,823.90x = 1,992,766.01
  5. Step 5: Solve for x
    x = 1,992,766.01/1,823.90
  6. Step 6: Final answer
    x = 1,092.59

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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.