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Finding the Fourth Proportional to 4,177.44, 6,267.20 and 1,255.68

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Solution

The fourth proportional to 4,177.44, 6,267.20 and 1,255.68 is: 1,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.44 : 6,267.20 = 1,255.68 : x
  2. Step 2: Convert to fraction form
    4,177.44/6,267.20 = 1,255.68/x
  3. Step 3: Cross multiply
    4,177.44x = 6,267.20 × 1,255.68
  4. Step 4: Simplify right side
    4,177.44x = 7,869,597.70
  5. Step 5: Solve for x
    x = 7,869,597.70/4,177.44
  6. Step 6: Final answer
    x = 1,883.83

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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.