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Finding the Fourth Proportional to 2,725.94, 3,761.21 and 1,606.46

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Solution

The fourth proportional to 2,725.94, 3,761.21 and 1,606.46 is: 2,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.94 : 3,761.21 = 1,606.46 : x
  2. Step 2: Convert to fraction form
    2,725.94/3,761.21 = 1,606.46/x
  3. Step 3: Cross multiply
    2,725.94x = 3,761.21 × 1,606.46
  4. Step 4: Simplify right side
    2,725.94x = 6,042,206.58
  5. Step 5: Solve for x
    x = 6,042,206.58/2,725.94
  6. Step 6: Final answer
    x = 2,216.56

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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.