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Finding the Fourth Proportional to 2,325.31, 3,206.05 and 1,661.92

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Solution

The fourth proportional to 2,325.31, 3,206.05 and 1,661.92 is: 2,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.31 : 3,206.05 = 1,661.92 : x
  2. Step 2: Convert to fraction form
    2,325.31/3,206.05 = 1,661.92/x
  3. Step 3: Cross multiply
    2,325.31x = 3,206.05 × 1,661.92
  4. Step 4: Simplify right side
    2,325.31x = 5,328,198.62
  5. Step 5: Solve for x
    x = 5,328,198.62/2,325.31
  6. Step 6: Final answer
    x = 2,291.39

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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.