Home / 1,624.73-2,241.78-961.43

Finding the Fourth Proportional to 1,624.73, 2,241.78 and 961.43

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Solution

The fourth proportional to 1,624.73, 2,241.78 and 961.43 is: 1,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.73 : 2,241.78 = 961.43 : x
  2. Step 2: Convert to fraction form
    1,624.73/2,241.78 = 961.43/x
  3. Step 3: Cross multiply
    1,624.73x = 2,241.78 × 961.43
  4. Step 4: Simplify right side
    1,624.73x = 2,155,314.55
  5. Step 5: Solve for x
    x = 2,155,314.55/1,624.73
  6. Step 6: Final answer
    x = 1,326.57

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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.