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Finding the Fourth Proportional to 2,785.26, 4,178.56 and 837.44

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Solution

The fourth proportional to 2,785.26, 4,178.56 and 837.44 is: 1,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.26 : 4,178.56 = 837.44 : x
  2. Step 2: Convert to fraction form
    2,785.26/4,178.56 = 837.44/x
  3. Step 3: Cross multiply
    2,785.26x = 4,178.56 × 837.44
  4. Step 4: Simplify right side
    2,785.26x = 3,499,293.29
  5. Step 5: Solve for x
    x = 3,499,293.29/2,785.26
  6. Step 6: Final answer
    x = 1,256.36

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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.