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Finding the Fourth Proportional to 2,788.63, 3,848.31 and 1,546.63

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Solution

The fourth proportional to 2,788.63, 3,848.31 and 1,546.63 is: 2,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.63 : 3,848.31 = 1,546.63 : x
  2. Step 2: Convert to fraction form
    2,788.63/3,848.31 = 1,546.63/x
  3. Step 3: Cross multiply
    2,788.63x = 3,848.31 × 1,546.63
  4. Step 4: Simplify right side
    2,788.63x = 5,951,884.72
  5. Step 5: Solve for x
    x = 5,951,884.72/2,788.63
  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.