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Finding the Fourth Proportional to 3,162.77, 4,744.14 and 854.27

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Solution

The fourth proportional to 3,162.77, 4,744.14 and 854.27 is: 1,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.77 : 4,744.14 = 854.27 : x
  2. Step 2: Convert to fraction form
    3,162.77/4,744.14 = 854.27/x
  3. Step 3: Cross multiply
    3,162.77x = 4,744.14 × 854.27
  4. Step 4: Simplify right side
    3,162.77x = 4,052,750.62
  5. Step 5: Solve for x
    x = 4,052,750.62/3,162.77
  6. Step 6: Final answer
    x = 1,281.39

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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.