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Finding the Fourth Proportional to 2,167.56, 3,252.42 and 851.31

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Solution

The fourth proportional to 2,167.56, 3,252.42 and 851.31 is: 1,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.56 : 3,252.42 = 851.31 : x
  2. Step 2: Convert to fraction form
    2,167.56/3,252.42 = 851.31/x
  3. Step 3: Cross multiply
    2,167.56x = 3,252.42 × 851.31
  4. Step 4: Simplify right side
    2,167.56x = 2,768,817.67
  5. Step 5: Solve for x
    x = 2,768,817.67/2,167.56
  6. Step 6: Final answer
    x = 1,277.39

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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.