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Finding the Fourth Proportional to 2,354.47, 3,249.26 and 1,292.27

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Solution

The fourth proportional to 2,354.47, 3,249.26 and 1,292.27 is: 1,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.47 : 3,249.26 = 1,292.27 : x
  2. Step 2: Convert to fraction form
    2,354.47/3,249.26 = 1,292.27/x
  3. Step 3: Cross multiply
    2,354.47x = 3,249.26 × 1,292.27
  4. Step 4: Simplify right side
    2,354.47x = 4,198,932.57
  5. Step 5: Solve for x
    x = 4,198,932.57/2,354.47
  6. Step 6: Final answer
    x = 1,783.39

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Why These Related Problems?

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