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Finding the Fourth Proportional to 2,716.50, 3,748.78 and 1,474.50

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Solution

The fourth proportional to 2,716.50, 3,748.78 and 1,474.50 is: 2,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.50 : 3,748.78 = 1,474.50 : x
  2. Step 2: Convert to fraction form
    2,716.50/3,748.78 = 1,474.50/x
  3. Step 3: Cross multiply
    2,716.50x = 3,748.78 × 1,474.50
  4. Step 4: Simplify right side
    2,716.50x = 5,527,576.11
  5. Step 5: Solve for x
    x = 5,527,576.11/2,716.50
  6. Step 6: Final answer
    x = 2,034.82

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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.