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Finding the Fourth Proportional to 2,778.40, 4,163.96 and 1,133

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Solution

The fourth proportional to 2,778.40, 4,163.96 and 1,133 is: 1,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.40 : 4,163.96 = 1,133 : x
  2. Step 2: Convert to fraction form
    2,778.40/4,163.96 = 1,133/x
  3. Step 3: Cross multiply
    2,778.40x = 4,163.96 × 1,133
  4. Step 4: Simplify right side
    2,778.40x = 4,717,766.68
  5. Step 5: Solve for x
    x = 4,717,766.68/2,778.40
  6. Step 6: Final answer
    x = 1,698.02

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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.