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Finding the Fourth Proportional to 2,505.26, 3,757.82 and 773.88

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Solution

The fourth proportional to 2,505.26, 3,757.82 and 773.88 is: 1,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.26 : 3,757.82 = 773.88 : x
  2. Step 2: Convert to fraction form
    2,505.26/3,757.82 = 773.88/x
  3. Step 3: Cross multiply
    2,505.26x = 3,757.82 × 773.88
  4. Step 4: Simplify right side
    2,505.26x = 2,908,097.87
  5. Step 5: Solve for x
    x = 2,908,097.87/2,505.26
  6. Step 6: Final answer
    x = 1,160.80

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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.