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Finding the Fourth Proportional to 2,813.71, 3,881.63 and 1,634.56

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Solution

The fourth proportional to 2,813.71, 3,881.63 and 1,634.56 is: 2,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.71 : 3,881.63 = 1,634.56 : x
  2. Step 2: Convert to fraction form
    2,813.71/3,881.63 = 1,634.56/x
  3. Step 3: Cross multiply
    2,813.71x = 3,881.63 × 1,634.56
  4. Step 4: Simplify right side
    2,813.71x = 6,344,757.13
  5. Step 5: Solve for x
    x = 6,344,757.13/2,813.71
  6. Step 6: Final answer
    x = 2,254.94

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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.