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Finding the Fourth Proportional to 1,844.71, 2,767.06 and 546.28

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Solution

The fourth proportional to 1,844.71, 2,767.06 and 546.28 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.71 : 2,767.06 = 546.28 : x
  2. Step 2: Convert to fraction form
    1,844.71/2,767.06 = 546.28/x
  3. Step 3: Cross multiply
    1,844.71x = 2,767.06 × 546.28
  4. Step 4: Simplify right side
    1,844.71x = 1,511,589.54
  5. Step 5: Solve for x
    x = 1,511,589.54/1,844.71
  6. Step 6: Final answer
    x = 819.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.