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Finding the Fourth Proportional to 2,505.09, 3,757.94 and 773.72

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Solution

The fourth proportional to 2,505.09, 3,757.94 and 773.72 is: 1,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.09 : 3,757.94 = 773.72 : x
  2. Step 2: Convert to fraction form
    2,505.09/3,757.94 = 773.72/x
  3. Step 3: Cross multiply
    2,505.09x = 3,757.94 × 773.72
  4. Step 4: Simplify right side
    2,505.09x = 2,907,592.02
  5. Step 5: Solve for x
    x = 2,907,592.02/2,505.09
  6. Step 6: Final answer
    x = 1,160.67

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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.