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Finding the Fourth Proportional to 2,081.94, 3,122.92 and 1,157.28

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Solution

The fourth proportional to 2,081.94, 3,122.92 and 1,157.28 is: 1,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.94 : 3,122.92 = 1,157.28 : x
  2. Step 2: Convert to fraction form
    2,081.94/3,122.92 = 1,157.28/x
  3. Step 3: Cross multiply
    2,081.94x = 3,122.92 × 1,157.28
  4. Step 4: Simplify right side
    2,081.94x = 3,614,092.86
  5. Step 5: Solve for x
    x = 3,614,092.86/2,081.94
  6. Step 6: Final answer
    x = 1,735.93

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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.