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Finding the Fourth Proportional to 1,665.14, 2,297.76 and 966.56

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Solution

The fourth proportional to 1,665.14, 2,297.76 and 966.56 is: 1,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.14 : 2,297.76 = 966.56 : x
  2. Step 2: Convert to fraction form
    1,665.14/2,297.76 = 966.56/x
  3. Step 3: Cross multiply
    1,665.14x = 2,297.76 × 966.56
  4. Step 4: Simplify right side
    1,665.14x = 2,220,922.91
  5. Step 5: Solve for x
    x = 2,220,922.91/1,665.14
  6. Step 6: Final answer
    x = 1,333.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.