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Finding the Fourth Proportional to 2,268.86, 3,402.32 and 708.48

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Solution

The fourth proportional to 2,268.86, 3,402.32 and 708.48 is: 1,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.86 : 3,402.32 = 708.48 : x
  2. Step 2: Convert to fraction form
    2,268.86/3,402.32 = 708.48/x
  3. Step 3: Cross multiply
    2,268.86x = 3,402.32 × 708.48
  4. Step 4: Simplify right side
    2,268.86x = 2,410,472.13
  5. Step 5: Solve for x
    x = 2,410,472.13/2,268.86
  6. Step 6: Final answer
    x = 1,062.42

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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.