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Finding the Fourth Proportional to 2,133.73, 3,195.42 and 1,034.56

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Solution

The fourth proportional to 2,133.73, 3,195.42 and 1,034.56 is: 1,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.73 : 3,195.42 = 1,034.56 : x
  2. Step 2: Convert to fraction form
    2,133.73/3,195.42 = 1,034.56/x
  3. Step 3: Cross multiply
    2,133.73x = 3,195.42 × 1,034.56
  4. Step 4: Simplify right side
    2,133.73x = 3,305,853.72
  5. Step 5: Solve for x
    x = 3,305,853.72/2,133.73
  6. Step 6: Final answer
    x = 1,549.33

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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.