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Finding the Fourth Proportional to 2,910.80, 4,365.25 and 1,266.86

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Solution

The fourth proportional to 2,910.80, 4,365.25 and 1,266.86 is: 1,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.80 : 4,365.25 = 1,266.86 : x
  2. Step 2: Convert to fraction form
    2,910.80/4,365.25 = 1,266.86/x
  3. Step 3: Cross multiply
    2,910.80x = 4,365.25 × 1,266.86
  4. Step 4: Simplify right side
    2,910.80x = 5,530,135.62
  5. Step 5: Solve for x
    x = 5,530,135.62/2,910.80
  6. Step 6: Final answer
    x = 1,899.87

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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.