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Finding the Fourth Proportional to 2,223.40, 3,335.56 and 836.73

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Solution

The fourth proportional to 2,223.40, 3,335.56 and 836.73 is: 1,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.40 : 3,335.56 = 836.73 : x
  2. Step 2: Convert to fraction form
    2,223.40/3,335.56 = 836.73/x
  3. Step 3: Cross multiply
    2,223.40x = 3,335.56 × 836.73
  4. Step 4: Simplify right side
    2,223.40x = 2,790,963.12
  5. Step 5: Solve for x
    x = 2,790,963.12/2,223.40
  6. Step 6: Final answer
    x = 1,255.27

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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.