Home / 2,137.74-3,209.38-2,050

Finding the Fourth Proportional to 2,137.74, 3,209.38 and 2,050

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Solution

The fourth proportional to 2,137.74, 3,209.38 and 2,050 is: 3,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.74 : 3,209.38 = 2,050 : x
  2. Step 2: Convert to fraction form
    2,137.74/3,209.38 = 2,050/x
  3. Step 3: Cross multiply
    2,137.74x = 3,209.38 × 2,050
  4. Step 4: Simplify right side
    2,137.74x = 6,579,229
  5. Step 5: Solve for x
    x = 6,579,229/2,137.74
  6. Step 6: Final answer
    x = 3,077.66

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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.