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Finding the Fourth Proportional to 1,821.96, 2,734.56 and 728.46

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Solution

The fourth proportional to 1,821.96, 2,734.56 and 728.46 is: 1,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.96 : 2,734.56 = 728.46 : x
  2. Step 2: Convert to fraction form
    1,821.96/2,734.56 = 728.46/x
  3. Step 3: Cross multiply
    1,821.96x = 2,734.56 × 728.46
  4. Step 4: Simplify right side
    1,821.96x = 1,992,017.58
  5. Step 5: Solve for x
    x = 1,992,017.58/1,821.96
  6. Step 6: Final answer
    x = 1,093.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.