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Finding the Fourth Proportional to 2,133.67, 3,195.87 and 1,035.73

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Solution

The fourth proportional to 2,133.67, 3,195.87 and 1,035.73 is: 1,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.67 : 3,195.87 = 1,035.73 : x
  2. Step 2: Convert to fraction form
    2,133.67/3,195.87 = 1,035.73/x
  3. Step 3: Cross multiply
    2,133.67x = 3,195.87 × 1,035.73
  4. Step 4: Simplify right side
    2,133.67x = 3,310,058.44
  5. Step 5: Solve for x
    x = 3,310,058.44/2,133.67
  6. Step 6: Final answer
    x = 1,551.35

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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.