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Finding the Fourth Proportional to 2,132.88, 3,198.16 and 1,439.52

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Solution

The fourth proportional to 2,132.88, 3,198.16 and 1,439.52 is: 2,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.88 : 3,198.16 = 1,439.52 : x
  2. Step 2: Convert to fraction form
    2,132.88/3,198.16 = 1,439.52/x
  3. Step 3: Cross multiply
    2,132.88x = 3,198.16 × 1,439.52
  4. Step 4: Simplify right side
    2,132.88x = 4,603,815.28
  5. Step 5: Solve for x
    x = 4,603,815.28/2,132.88
  6. Step 6: Final answer
    x = 2,158.50

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Why These Related Problems?

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