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Finding the Fourth Proportional to 1,816.82, 2,726.58 and 843.60

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Solution

The fourth proportional to 1,816.82, 2,726.58 and 843.60 is: 1,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.82 : 2,726.58 = 843.60 : x
  2. Step 2: Convert to fraction form
    1,816.82/2,726.58 = 843.60/x
  3. Step 3: Cross multiply
    1,816.82x = 2,726.58 × 843.60
  4. Step 4: Simplify right side
    1,816.82x = 2,300,142.89
  5. Step 5: Solve for x
    x = 2,300,142.89/1,816.82
  6. Step 6: Final answer
    x = 1,266.03

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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.