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Finding the Fourth Proportional to 2,533.14, 3,797.94 and 1,299.72

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Solution

The fourth proportional to 2,533.14, 3,797.94 and 1,299.72 is: 1,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.14 : 3,797.94 = 1,299.72 : x
  2. Step 2: Convert to fraction form
    2,533.14/3,797.94 = 1,299.72/x
  3. Step 3: Cross multiply
    2,533.14x = 3,797.94 × 1,299.72
  4. Step 4: Simplify right side
    2,533.14x = 4,936,258.58
  5. Step 5: Solve for x
    x = 4,936,258.58/2,533.14
  6. Step 6: Final answer
    x = 1,948.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.