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Finding the Fourth Proportional to 2,081.82, 3,123.22 and 1,042.26

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Solution

The fourth proportional to 2,081.82, 3,123.22 and 1,042.26 is: 1,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.82 : 3,123.22 = 1,042.26 : x
  2. Step 2: Convert to fraction form
    2,081.82/3,123.22 = 1,042.26/x
  3. Step 3: Cross multiply
    2,081.82x = 3,123.22 × 1,042.26
  4. Step 4: Simplify right side
    2,081.82x = 3,255,207.28
  5. Step 5: Solve for x
    x = 3,255,207.28/2,081.82
  6. Step 6: Final answer
    x = 1,563.64

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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.