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Finding the Fourth Proportional to 2,133.56, 3,198.51 and 1,401.53

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Solution

The fourth proportional to 2,133.56, 3,198.51 and 1,401.53 is: 2,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.56 : 3,198.51 = 1,401.53 : x
  2. Step 2: Convert to fraction form
    2,133.56/3,198.51 = 1,401.53/x
  3. Step 3: Cross multiply
    2,133.56x = 3,198.51 × 1,401.53
  4. Step 4: Simplify right side
    2,133.56x = 4,482,791.73
  5. Step 5: Solve for x
    x = 4,482,791.73/2,133.56
  6. Step 6: Final answer
    x = 2,101.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.