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Finding the Fourth Proportional to 2,805.17, 3,871.22 and 1,546.29

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Solution

The fourth proportional to 2,805.17, 3,871.22 and 1,546.29 is: 2,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.17 : 3,871.22 = 1,546.29 : x
  2. Step 2: Convert to fraction form
    2,805.17/3,871.22 = 1,546.29/x
  3. Step 3: Cross multiply
    2,805.17x = 3,871.22 × 1,546.29
  4. Step 4: Simplify right side
    2,805.17x = 5,986,021.04
  5. Step 5: Solve for x
    x = 5,986,021.04/2,805.17
  6. Step 6: Final answer
    x = 2,133.93

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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.