Home / 2,141.24-3,211.40-680.52

Finding the Fourth Proportional to 2,141.24, 3,211.40 and 680.52

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Solution

The fourth proportional to 2,141.24, 3,211.40 and 680.52 is: 1,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.24 : 3,211.40 = 680.52 : x
  2. Step 2: Convert to fraction form
    2,141.24/3,211.40 = 680.52/x
  3. Step 3: Cross multiply
    2,141.24x = 3,211.40 × 680.52
  4. Step 4: Simplify right side
    2,141.24x = 2,185,421.93
  5. Step 5: Solve for x
    x = 2,185,421.93/2,141.24
  6. Step 6: Final answer
    x = 1,020.63

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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.