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Finding the Fourth Proportional to 2,763.12, 3,812.09 and 1,644.11

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Solution

The fourth proportional to 2,763.12, 3,812.09 and 1,644.11 is: 2,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.12 : 3,812.09 = 1,644.11 : x
  2. Step 2: Convert to fraction form
    2,763.12/3,812.09 = 1,644.11/x
  3. Step 3: Cross multiply
    2,763.12x = 3,812.09 × 1,644.11
  4. Step 4: Simplify right side
    2,763.12x = 6,267,468.01
  5. Step 5: Solve for x
    x = 6,267,468.01/2,763.12
  6. Step 6: Final answer
    x = 2,268.26

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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.