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Finding the Fourth Proportional to 2,198.99, 3,033.21 and 1,535.60

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Solution

The fourth proportional to 2,198.99, 3,033.21 and 1,535.60 is: 2,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.99 : 3,033.21 = 1,535.60 : x
  2. Step 2: Convert to fraction form
    2,198.99/3,033.21 = 1,535.60/x
  3. Step 3: Cross multiply
    2,198.99x = 3,033.21 × 1,535.60
  4. Step 4: Simplify right side
    2,198.99x = 4,657,789.60
  5. Step 5: Solve for x
    x = 4,657,789.60/2,198.99
  6. Step 6: Final answer
    x = 2,118.15

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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.