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Finding the Fourth Proportional to 4,179.70, 6,268.32 and 1,257.22

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Solution

The fourth proportional to 4,179.70, 6,268.32 and 1,257.22 is: 1,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.70 : 6,268.32 = 1,257.22 : x
  2. Step 2: Convert to fraction form
    4,179.70/6,268.32 = 1,257.22/x
  3. Step 3: Cross multiply
    4,179.70x = 6,268.32 × 1,257.22
  4. Step 4: Simplify right side
    4,179.70x = 7,880,657.27
  5. Step 5: Solve for x
    x = 7,880,657.27/4,179.70
  6. Step 6: Final answer
    x = 1,885.46

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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.