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Finding the Fourth Proportional to 1,823.39, 2,736 and 728.68

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Solution

The fourth proportional to 1,823.39, 2,736 and 728.68 is: 1,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.39 : 2,736 = 728.68 : x
  2. Step 2: Convert to fraction form
    1,823.39/2,736 = 728.68/x
  3. Step 3: Cross multiply
    1,823.39x = 2,736 × 728.68
  4. Step 4: Simplify right side
    1,823.39x = 1,993,661.64
  5. Step 5: Solve for x
    x = 1,993,661.64/1,823.39
  6. Step 6: Final answer
    x = 1,093.38

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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.