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Finding the Fourth Proportional to 2,265.88, 3,398.82 and 966.52

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Solution

The fourth proportional to 2,265.88, 3,398.82 and 966.52 is: 1,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.88 : 3,398.82 = 966.52 : x
  2. Step 2: Convert to fraction form
    2,265.88/3,398.82 = 966.52/x
  3. Step 3: Cross multiply
    2,265.88x = 3,398.82 × 966.52
  4. Step 4: Simplify right side
    2,265.88x = 3,285,027.51
  5. Step 5: Solve for x
    x = 3,285,027.51/2,265.88
  6. Step 6: Final answer
    x = 1,449.78

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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.