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Finding the Fourth Proportional to 2,198.52, 3,033.88 and 1,203.76

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Solution

The fourth proportional to 2,198.52, 3,033.88 and 1,203.76 is: 1,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.52 : 3,033.88 = 1,203.76 : x
  2. Step 2: Convert to fraction form
    2,198.52/3,033.88 = 1,203.76/x
  3. Step 3: Cross multiply
    2,198.52x = 3,033.88 × 1,203.76
  4. Step 4: Simplify right side
    2,198.52x = 3,652,063.39
  5. Step 5: Solve for x
    x = 3,652,063.39/2,198.52
  6. Step 6: Final answer
    x = 1,661.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.