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Finding the Fourth Proportional to 4,171.76, 6,260.21 and 1,706.60

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Solution

The fourth proportional to 4,171.76, 6,260.21 and 1,706.60 is: 2,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.76 : 6,260.21 = 1,706.60 : x
  2. Step 2: Convert to fraction form
    4,171.76/6,260.21 = 1,706.60/x
  3. Step 3: Cross multiply
    4,171.76x = 6,260.21 × 1,706.60
  4. Step 4: Simplify right side
    4,171.76x = 10,683,634.55
  5. Step 5: Solve for x
    x = 10,683,634.55/4,171.76
  6. Step 6: Final answer
    x = 2,560.94

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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.