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Finding the Fourth Proportional to 2,632.56, 3,954.09 and 1,647.13

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Solution

The fourth proportional to 2,632.56, 3,954.09 and 1,647.13 is: 2,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.56 : 3,954.09 = 1,647.13 : x
  2. Step 2: Convert to fraction form
    2,632.56/3,954.09 = 1,647.13/x
  3. Step 3: Cross multiply
    2,632.56x = 3,954.09 × 1,647.13
  4. Step 4: Simplify right side
    2,632.56x = 6,512,872.26
  5. Step 5: Solve for x
    x = 6,512,872.26/2,632.56
  6. Step 6: Final answer
    x = 2,473.97

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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.