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Finding the Fourth Proportional to 2,523.10, 3,785.25 and 857.33

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Solution

The fourth proportional to 2,523.10, 3,785.25 and 857.33 is: 1,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.10 : 3,785.25 = 857.33 : x
  2. Step 2: Convert to fraction form
    2,523.10/3,785.25 = 857.33/x
  3. Step 3: Cross multiply
    2,523.10x = 3,785.25 × 857.33
  4. Step 4: Simplify right side
    2,523.10x = 3,245,223.34
  5. Step 5: Solve for x
    x = 3,245,223.34/2,523.10
  6. Step 6: Final answer
    x = 1,286.21

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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.