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Finding the Fourth Proportional to 2,788.62, 3,848.31 and 1,546.62

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Solution

The fourth proportional to 2,788.62, 3,848.31 and 1,546.62 is: 2,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.62 : 3,848.31 = 1,546.62 : x
  2. Step 2: Convert to fraction form
    2,788.62/3,848.31 = 1,546.62/x
  3. Step 3: Cross multiply
    2,788.62x = 3,848.31 × 1,546.62
  4. Step 4: Simplify right side
    2,788.62x = 5,951,873.21
  5. Step 5: Solve for x
    x = 5,951,873.21/2,788.62
  6. Step 6: Final answer
    x = 2,134.34

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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.