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Finding the Fourth Proportional to 2,134.32, 3,198.44 and 1,208.50

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Solution

The fourth proportional to 2,134.32, 3,198.44 and 1,208.50 is: 1,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.32 : 3,198.44 = 1,208.50 : x
  2. Step 2: Convert to fraction form
    2,134.32/3,198.44 = 1,208.50/x
  3. Step 3: Cross multiply
    2,134.32x = 3,198.44 × 1,208.50
  4. Step 4: Simplify right side
    2,134.32x = 3,865,314.74
  5. Step 5: Solve for x
    x = 3,865,314.74/2,134.32
  6. Step 6: Final answer
    x = 1,811.03

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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.