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Finding the Fourth Proportional to 2,305.46, 3,452.72 and 1,645.71

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Solution

The fourth proportional to 2,305.46, 3,452.72 and 1,645.71 is: 2,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.46 : 3,452.72 = 1,645.71 : x
  2. Step 2: Convert to fraction form
    2,305.46/3,452.72 = 1,645.71/x
  3. Step 3: Cross multiply
    2,305.46x = 3,452.72 × 1,645.71
  4. Step 4: Simplify right side
    2,305.46x = 5,682,167.60
  5. Step 5: Solve for x
    x = 5,682,167.60/2,305.46
  6. Step 6: Final answer
    x = 2,464.66

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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.