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Finding the Fourth Proportional to 2,267.36, 3,398.30 and 966.09

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Solution

The fourth proportional to 2,267.36, 3,398.30 and 966.09 is: 1,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.36 : 3,398.30 = 966.09 : x
  2. Step 2: Convert to fraction form
    2,267.36/3,398.30 = 966.09/x
  3. Step 3: Cross multiply
    2,267.36x = 3,398.30 × 966.09
  4. Step 4: Simplify right side
    2,267.36x = 3,283,080.62
  5. Step 5: Solve for x
    x = 3,283,080.62/2,267.36
  6. Step 6: Final answer
    x = 1,447.98

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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.