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Finding the Fourth Proportional to 2,133.88, 3,202.64 and 836.26

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Solution

The fourth proportional to 2,133.88, 3,202.64 and 836.26 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.88 : 3,202.64 = 836.26 : x
  2. Step 2: Convert to fraction form
    2,133.88/3,202.64 = 836.26/x
  3. Step 3: Cross multiply
    2,133.88x = 3,202.64 × 836.26
  4. Step 4: Simplify right side
    2,133.88x = 2,678,239.73
  5. Step 5: Solve for x
    x = 2,678,239.73/2,133.88
  6. Step 6: Final answer
    x = 1,255.10

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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.