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Finding the Fourth Proportional to 2,480.23, 3,717.75 and 836.21

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Solution

The fourth proportional to 2,480.23, 3,717.75 and 836.21 is: 1,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.23 : 3,717.75 = 836.21 : x
  2. Step 2: Convert to fraction form
    2,480.23/3,717.75 = 836.21/x
  3. Step 3: Cross multiply
    2,480.23x = 3,717.75 × 836.21
  4. Step 4: Simplify right side
    2,480.23x = 3,108,819.73
  5. Step 5: Solve for x
    x = 3,108,819.73/2,480.23
  6. Step 6: Final answer
    x = 1,253.44

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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.