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Finding the Fourth Proportional to 2,135.94, 3,205.26 and 837.38

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Solution

The fourth proportional to 2,135.94, 3,205.26 and 837.38 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.94 : 3,205.26 = 837.38 : x
  2. Step 2: Convert to fraction form
    2,135.94/3,205.26 = 837.38/x
  3. Step 3: Cross multiply
    2,135.94x = 3,205.26 × 837.38
  4. Step 4: Simplify right side
    2,135.94x = 2,684,004.59
  5. Step 5: Solve for x
    x = 2,684,004.59/2,135.94
  6. Step 6: Final answer
    x = 1,256.59

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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.