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Finding the Fourth Proportional to 1,824.14, 2,735.67 and 728.66

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Solution

The fourth proportional to 1,824.14, 2,735.67 and 728.66 is: 1,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.14 : 2,735.67 = 728.66 : x
  2. Step 2: Convert to fraction form
    1,824.14/2,735.67 = 728.66/x
  3. Step 3: Cross multiply
    1,824.14x = 2,735.67 × 728.66
  4. Step 4: Simplify right side
    1,824.14x = 1,993,373.30
  5. Step 5: Solve for x
    x = 1,993,373.30/1,824.14
  6. Step 6: Final answer
    x = 1,092.77

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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.