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Finding the Fourth Proportional to 2,716.25, 3,748.43 and 1,474.25

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Solution

The fourth proportional to 2,716.25, 3,748.43 and 1,474.25 is: 2,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.25 : 3,748.43 = 1,474.25 : x
  2. Step 2: Convert to fraction form
    2,716.25/3,748.43 = 1,474.25/x
  3. Step 3: Cross multiply
    2,716.25x = 3,748.43 × 1,474.25
  4. Step 4: Simplify right side
    2,716.25x = 5,526,115.56
  5. Step 5: Solve for x
    x = 5,526,115.56/2,716.25
  6. Step 6: Final answer
    x = 2,034.47

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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.