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Finding the Fourth Proportional to 1,757.62, 2,425.53 and 960.97

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Solution

The fourth proportional to 1,757.62, 2,425.53 and 960.97 is: 1,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.62 : 2,425.53 = 960.97 : x
  2. Step 2: Convert to fraction form
    1,757.62/2,425.53 = 960.97/x
  3. Step 3: Cross multiply
    1,757.62x = 2,425.53 × 960.97
  4. Step 4: Simplify right side
    1,757.62x = 2,330,861.56
  5. Step 5: Solve for x
    x = 2,330,861.56/1,757.62
  6. Step 6: Final answer
    x = 1,326.15

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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.