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Finding the Fourth Proportional to 2,811.87, 4,218.78 and 1,252.98

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Solution

The fourth proportional to 2,811.87, 4,218.78 and 1,252.98 is: 1,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.87 : 4,218.78 = 1,252.98 : x
  2. Step 2: Convert to fraction form
    2,811.87/4,218.78 = 1,252.98/x
  3. Step 3: Cross multiply
    2,811.87x = 4,218.78 × 1,252.98
  4. Step 4: Simplify right side
    2,811.87x = 5,286,046.96
  5. Step 5: Solve for x
    x = 5,286,046.96/2,811.87
  6. Step 6: Final answer
    x = 1,879.90

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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.