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Finding the Fourth Proportional to 1,722.82, 2,377.45 and 966.58

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Solution

The fourth proportional to 1,722.82, 2,377.45 and 966.58 is: 1,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.82 : 2,377.45 = 966.58 : x
  2. Step 2: Convert to fraction form
    1,722.82/2,377.45 = 966.58/x
  3. Step 3: Cross multiply
    1,722.82x = 2,377.45 × 966.58
  4. Step 4: Simplify right side
    1,722.82x = 2,297,995.62
  5. Step 5: Solve for x
    x = 2,297,995.62/1,722.82
  6. Step 6: Final answer
    x = 1,333.86

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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.