Home / 2,057.18-3,085.80-961.24

Finding the Fourth Proportional to 2,057.18, 3,085.80 and 961.24

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Solution

The fourth proportional to 2,057.18, 3,085.80 and 961.24 is: 1,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.18 : 3,085.80 = 961.24 : x
  2. Step 2: Convert to fraction form
    2,057.18/3,085.80 = 961.24/x
  3. Step 3: Cross multiply
    2,057.18x = 3,085.80 × 961.24
  4. Step 4: Simplify right side
    2,057.18x = 2,966,194.39
  5. Step 5: Solve for x
    x = 2,966,194.39/2,057.18
  6. Step 6: Final answer
    x = 1,441.87

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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.