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Finding the Fourth Proportional to 2,778.45, 4,169.03 and 1,218.24

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Solution

The fourth proportional to 2,778.45, 4,169.03 and 1,218.24 is: 1,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.45 : 4,169.03 = 1,218.24 : x
  2. Step 2: Convert to fraction form
    2,778.45/4,169.03 = 1,218.24/x
  3. Step 3: Cross multiply
    2,778.45x = 4,169.03 × 1,218.24
  4. Step 4: Simplify right side
    2,778.45x = 5,078,879.11
  5. Step 5: Solve for x
    x = 5,078,879.11/2,778.45
  6. Step 6: Final answer
    x = 1,827.95

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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.