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Finding the Fourth Proportional to 3,198.03, 4,412.52 and 1,800.78

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Solution

The fourth proportional to 3,198.03, 4,412.52 and 1,800.78 is: 2,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.03 : 4,412.52 = 1,800.78 : x
  2. Step 2: Convert to fraction form
    3,198.03/4,412.52 = 1,800.78/x
  3. Step 3: Cross multiply
    3,198.03x = 4,412.52 × 1,800.78
  4. Step 4: Simplify right side
    3,198.03x = 7,945,977.77
  5. Step 5: Solve for x
    x = 7,945,977.77/3,198.03
  6. Step 6: Final answer
    x = 2,484.65

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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.