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Finding the Fourth Proportional to 2,748.30, 3,796.56 and 2,216.40

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Solution

The fourth proportional to 2,748.30, 3,796.56 and 2,216.40 is: 3,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.30 : 3,796.56 = 2,216.40 : x
  2. Step 2: Convert to fraction form
    2,748.30/3,796.56 = 2,216.40/x
  3. Step 3: Cross multiply
    2,748.30x = 3,796.56 × 2,216.40
  4. Step 4: Simplify right side
    2,748.30x = 8,414,695.58
  5. Step 5: Solve for x
    x = 8,414,695.58/2,748.30
  6. Step 6: Final answer
    x = 3,061.78

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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.