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Finding the Fourth Proportional to 1,822.29, 2,734.35 and 728.79

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Solution

The fourth proportional to 1,822.29, 2,734.35 and 728.79 is: 1,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.29 : 2,734.35 = 728.79 : x
  2. Step 2: Convert to fraction form
    1,822.29/2,734.35 = 728.79/x
  3. Step 3: Cross multiply
    1,822.29x = 2,734.35 × 728.79
  4. Step 4: Simplify right side
    1,822.29x = 1,992,766.94
  5. Step 5: Solve for x
    x = 1,992,766.94/1,822.29
  6. Step 6: Final answer
    x = 1,093.55

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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.