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Finding the Fourth Proportional to 2,268.27, 3,402.27 and 625.05

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Solution

The fourth proportional to 2,268.27, 3,402.27 and 625.05 is: 937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.27 : 3,402.27 = 625.05 : x
  2. Step 2: Convert to fraction form
    2,268.27/3,402.27 = 625.05/x
  3. Step 3: Cross multiply
    2,268.27x = 3,402.27 × 625.05
  4. Step 4: Simplify right side
    2,268.27x = 2,126,588.86
  5. Step 5: Solve for x
    x = 2,126,588.86/2,268.27
  6. Step 6: Final answer
    x = 937.54

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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.