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Finding the Fourth Proportional to 2,268.56, 3,400.41 and 807.23

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Solution

The fourth proportional to 2,268.56, 3,400.41 and 807.23 is: 1,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.56 : 3,400.41 = 807.23 : x
  2. Step 2: Convert to fraction form
    2,268.56/3,400.41 = 807.23/x
  3. Step 3: Cross multiply
    2,268.56x = 3,400.41 × 807.23
  4. Step 4: Simplify right side
    2,268.56x = 2,744,912.96
  5. Step 5: Solve for x
    x = 2,744,912.96/2,268.56
  6. Step 6: Final answer
    x = 1,209.98

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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.