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Finding the Fourth Proportional to 2,408.36, 3,323.71 and 1,400.38

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Solution

The fourth proportional to 2,408.36, 3,323.71 and 1,400.38 is: 1,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.36 : 3,323.71 = 1,400.38 : x
  2. Step 2: Convert to fraction form
    2,408.36/3,323.71 = 1,400.38/x
  3. Step 3: Cross multiply
    2,408.36x = 3,323.71 × 1,400.38
  4. Step 4: Simplify right side
    2,408.36x = 4,654,462.87
  5. Step 5: Solve for x
    x = 4,654,462.87/2,408.36
  6. Step 6: Final answer
    x = 1,932.63

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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.