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Finding the Fourth Proportional to 2,788.50, 3,848.22 and 1,546.50

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Solution

The fourth proportional to 2,788.50, 3,848.22 and 1,546.50 is: 2,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.50 : 3,848.22 = 1,546.50 : x
  2. Step 2: Convert to fraction form
    2,788.50/3,848.22 = 1,546.50/x
  3. Step 3: Cross multiply
    2,788.50x = 3,848.22 × 1,546.50
  4. Step 4: Simplify right side
    2,788.50x = 5,951,272.23
  5. Step 5: Solve for x
    x = 5,951,272.23/2,788.50
  6. Step 6: Final answer
    x = 2,134.22

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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.