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Finding the Fourth Proportional to 2,811.87, 3,880.89 and 1,632.96

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Solution

The fourth proportional to 2,811.87, 3,880.89 and 1,632.96 is: 2,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.87 : 3,880.89 = 1,632.96 : x
  2. Step 2: Convert to fraction form
    2,811.87/3,880.89 = 1,632.96/x
  3. Step 3: Cross multiply
    2,811.87x = 3,880.89 × 1,632.96
  4. Step 4: Simplify right side
    2,811.87x = 6,337,338.13
  5. Step 5: Solve for x
    x = 6,337,338.13/2,811.87
  6. Step 6: Final answer
    x = 2,253.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.