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Finding the Fourth Proportional to 2,752.26, 3,796.44 and 1,632.45

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Solution

The fourth proportional to 2,752.26, 3,796.44 and 1,632.45 is: 2,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.26 : 3,796.44 = 1,632.45 : x
  2. Step 2: Convert to fraction form
    2,752.26/3,796.44 = 1,632.45/x
  3. Step 3: Cross multiply
    2,752.26x = 3,796.44 × 1,632.45
  4. Step 4: Simplify right side
    2,752.26x = 6,197,486.01
  5. Step 5: Solve for x
    x = 6,197,486.01/2,752.26
  6. Step 6: Final answer
    x = 2,251.78

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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.