Home / 2,327.92-3,493.14-1,546

Finding the Fourth Proportional to 2,327.92, 3,493.14 and 1,546

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Solution

The fourth proportional to 2,327.92, 3,493.14 and 1,546 is: 2,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.92 : 3,493.14 = 1,546 : x
  2. Step 2: Convert to fraction form
    2,327.92/3,493.14 = 1,546/x
  3. Step 3: Cross multiply
    2,327.92x = 3,493.14 × 1,546
  4. Step 4: Simplify right side
    2,327.92x = 5,400,394.44
  5. Step 5: Solve for x
    x = 5,400,394.44/2,327.92
  6. Step 6: Final answer
    x = 2,319.84

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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.