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Finding the Fourth Proportional to 2,812.96, 3,882.08 and 1,634.40

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Solution

The fourth proportional to 2,812.96, 3,882.08 and 1,634.40 is: 2,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.96 : 3,882.08 = 1,634.40 : x
  2. Step 2: Convert to fraction form
    2,812.96/3,882.08 = 1,634.40/x
  3. Step 3: Cross multiply
    2,812.96x = 3,882.08 × 1,634.40
  4. Step 4: Simplify right side
    2,812.96x = 6,344,871.55
  5. Step 5: Solve for x
    x = 6,344,871.55/2,812.96
  6. Step 6: Final answer
    x = 2,255.59

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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.