Home / 3,291.73-4,542-1,965.22

Finding the Fourth Proportional to 3,291.73, 4,542 and 1,965.22

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Solution

The fourth proportional to 3,291.73, 4,542 and 1,965.22 is: 2,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.73 : 4,542 = 1,965.22 : x
  2. Step 2: Convert to fraction form
    3,291.73/4,542 = 1,965.22/x
  3. Step 3: Cross multiply
    3,291.73x = 4,542 × 1,965.22
  4. Step 4: Simplify right side
    3,291.73x = 8,926,029.24
  5. Step 5: Solve for x
    x = 8,926,029.24/3,291.73
  6. Step 6: Final answer
    x = 2,711.65

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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.