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Finding the Fourth Proportional to 2,135.43, 3,203.96 and 837.81

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Solution

The fourth proportional to 2,135.43, 3,203.96 and 837.81 is: 1,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.43 : 3,203.96 = 837.81 : x
  2. Step 2: Convert to fraction form
    2,135.43/3,203.96 = 837.81/x
  3. Step 3: Cross multiply
    2,135.43x = 3,203.96 × 837.81
  4. Step 4: Simplify right side
    2,135.43x = 2,684,305.54
  5. Step 5: Solve for x
    x = 2,684,305.54/2,135.43
  6. Step 6: Final answer
    x = 1,257.03

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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.