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Finding the Fourth Proportional to 2,805.25, 3,871.22 and 1,546.35

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Solution

The fourth proportional to 2,805.25, 3,871.22 and 1,546.35 is: 2,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.25 : 3,871.22 = 1,546.35 : x
  2. Step 2: Convert to fraction form
    2,805.25/3,871.22 = 1,546.35/x
  3. Step 3: Cross multiply
    2,805.25x = 3,871.22 × 1,546.35
  4. Step 4: Simplify right side
    2,805.25x = 5,986,262.99
  5. Step 5: Solve for x
    x = 5,986,262.99/2,805.25
  6. Step 6: Final answer
    x = 2,133.95

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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.