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Finding the Fourth Proportional to 2,134.81, 3,198.91 and 1,439.02

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Solution

The fourth proportional to 2,134.81, 3,198.91 and 1,439.02 is: 2,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.81 : 3,198.91 = 1,439.02 : x
  2. Step 2: Convert to fraction form
    2,134.81/3,198.91 = 1,439.02/x
  3. Step 3: Cross multiply
    2,134.81x = 3,198.91 × 1,439.02
  4. Step 4: Simplify right side
    2,134.81x = 4,603,295.47
  5. Step 5: Solve for x
    x = 4,603,295.47/2,134.81
  6. Step 6: Final answer
    x = 2,156.30

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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.