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Finding the Fourth Proportional to 2,806.94, 4,209.64 and 1,163.10

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Solution

The fourth proportional to 2,806.94, 4,209.64 and 1,163.10 is: 1,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.94 : 4,209.64 = 1,163.10 : x
  2. Step 2: Convert to fraction form
    2,806.94/4,209.64 = 1,163.10/x
  3. Step 3: Cross multiply
    2,806.94x = 4,209.64 × 1,163.10
  4. Step 4: Simplify right side
    2,806.94x = 4,896,232.28
  5. Step 5: Solve for x
    x = 4,896,232.28/2,806.94
  6. Step 6: Final answer
    x = 1,744.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.