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Finding the Fourth Proportional to 4,171.67, 6,256.44 and 1,706.03

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Solution

The fourth proportional to 4,171.67, 6,256.44 and 1,706.03 is: 2,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.67 : 6,256.44 = 1,706.03 : x
  2. Step 2: Convert to fraction form
    4,171.67/6,256.44 = 1,706.03/x
  3. Step 3: Cross multiply
    4,171.67x = 6,256.44 × 1,706.03
  4. Step 4: Simplify right side
    4,171.67x = 10,673,674.33
  5. Step 5: Solve for x
    x = 10,673,674.33/4,171.67
  6. Step 6: Final answer
    x = 2,558.61

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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.