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Finding the Fourth Proportional to 2,567.70, 3,845.88 and 2,157.57

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Solution

The fourth proportional to 2,567.70, 3,845.88 and 2,157.57 is: 3,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.70 : 3,845.88 = 2,157.57 : x
  2. Step 2: Convert to fraction form
    2,567.70/3,845.88 = 2,157.57/x
  3. Step 3: Cross multiply
    2,567.70x = 3,845.88 × 2,157.57
  4. Step 4: Simplify right side
    2,567.70x = 8,297,755.31
  5. Step 5: Solve for x
    x = 8,297,755.31/2,567.70
  6. Step 6: Final answer
    x = 3,231.59

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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.