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Finding the Fourth Proportional to 2,134.97, 3,200.87 and 1,439.69

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Solution

The fourth proportional to 2,134.97, 3,200.87 and 1,439.69 is: 2,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.97 : 3,200.87 = 1,439.69 : x
  2. Step 2: Convert to fraction form
    2,134.97/3,200.87 = 1,439.69/x
  3. Step 3: Cross multiply
    2,134.97x = 3,200.87 × 1,439.69
  4. Step 4: Simplify right side
    2,134.97x = 4,608,258.03
  5. Step 5: Solve for x
    x = 4,608,258.03/2,134.97
  6. Step 6: Final answer
    x = 2,158.46

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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.