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Finding the Fourth Proportional to 1,821.72, 2,515.28 and 1,644.33

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Solution

The fourth proportional to 1,821.72, 2,515.28 and 1,644.33 is: 2,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.72 : 2,515.28 = 1,644.33 : x
  2. Step 2: Convert to fraction form
    1,821.72/2,515.28 = 1,644.33/x
  3. Step 3: Cross multiply
    1,821.72x = 2,515.28 × 1,644.33
  4. Step 4: Simplify right side
    1,821.72x = 4,135,942.14
  5. Step 5: Solve for x
    x = 4,135,942.14/1,821.72
  6. Step 6: Final answer
    x = 2,270.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.