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Finding the Fourth Proportional to 2,193.01, 3,026.20 and 1,198.08

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Solution

The fourth proportional to 2,193.01, 3,026.20 and 1,198.08 is: 1,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.01 : 3,026.20 = 1,198.08 : x
  2. Step 2: Convert to fraction form
    2,193.01/3,026.20 = 1,198.08/x
  3. Step 3: Cross multiply
    2,193.01x = 3,026.20 × 1,198.08
  4. Step 4: Simplify right side
    2,193.01x = 3,625,629.70
  5. Step 5: Solve for x
    x = 3,625,629.70/2,193.01
  6. Step 6: Final answer
    x = 1,653.27

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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.