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Finding the Fourth Proportional to 2,805.26, 3,871.50 and 1,546.52

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Solution

The fourth proportional to 2,805.26, 3,871.50 and 1,546.52 is: 2,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.26 : 3,871.50 = 1,546.52 : x
  2. Step 2: Convert to fraction form
    2,805.26/3,871.50 = 1,546.52/x
  3. Step 3: Cross multiply
    2,805.26x = 3,871.50 × 1,546.52
  4. Step 4: Simplify right side
    2,805.26x = 5,987,352.18
  5. Step 5: Solve for x
    x = 5,987,352.18/2,805.26
  6. Step 6: Final answer
    x = 2,134.33

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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.