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Finding the Fourth Proportional to 1,764.56, 2,662.24 and 1,759.70

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Solution

The fourth proportional to 1,764.56, 2,662.24 and 1,759.70 is: 2,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.56 : 2,662.24 = 1,759.70 : x
  2. Step 2: Convert to fraction form
    1,764.56/2,662.24 = 1,759.70/x
  3. Step 3: Cross multiply
    1,764.56x = 2,662.24 × 1,759.70
  4. Step 4: Simplify right side
    1,764.56x = 4,684,743.73
  5. Step 5: Solve for x
    x = 4,684,743.73/1,764.56
  6. Step 6: Final answer
    x = 2,654.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.