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Finding the Fourth Proportional to 2,748.72, 3,793.14 and 1,629.00

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Solution

The fourth proportional to 2,748.72, 3,793.14 and 1,629.00 is: 2,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.72 : 3,793.14 = 1,629.00 : x
  2. Step 2: Convert to fraction form
    2,748.72/3,793.14 = 1,629.00/x
  3. Step 3: Cross multiply
    2,748.72x = 3,793.14 × 1,629.00
  4. Step 4: Simplify right side
    2,748.72x = 6,179,015.17
  5. Step 5: Solve for x
    x = 6,179,015.17/2,748.72
  6. Step 6: Final answer
    x = 2,247.96

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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.