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Finding the Fourth Proportional to 2,167.59, 3,251.73 and 706.41

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Solution

The fourth proportional to 2,167.59, 3,251.73 and 706.41 is: 1,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.59 : 3,251.73 = 706.41 : x
  2. Step 2: Convert to fraction form
    2,167.59/3,251.73 = 706.41/x
  3. Step 3: Cross multiply
    2,167.59x = 3,251.73 × 706.41
  4. Step 4: Simplify right side
    2,167.59x = 2,297,054.59
  5. Step 5: Solve for x
    x = 2,297,054.59/2,167.59
  6. Step 6: Final answer
    x = 1,059.73

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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.