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Finding the Fourth Proportional to 2,504.44, 3,755.37 and 1,464.67

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Solution

The fourth proportional to 2,504.44, 3,755.37 and 1,464.67 is: 2,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.44 : 3,755.37 = 1,464.67 : x
  2. Step 2: Convert to fraction form
    2,504.44/3,755.37 = 1,464.67/x
  3. Step 3: Cross multiply
    2,504.44x = 3,755.37 × 1,464.67
  4. Step 4: Simplify right side
    2,504.44x = 5,500,377.78
  5. Step 5: Solve for x
    x = 5,500,377.78/2,504.44
  6. Step 6: Final answer
    x = 2,196.25

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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.