Home / 2,078.24-3,117.92-691.80

Finding the Fourth Proportional to 2,078.24, 3,117.92 and 691.80

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Solution

The fourth proportional to 2,078.24, 3,117.92 and 691.80 is: 1,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.24 : 3,117.92 = 691.80 : x
  2. Step 2: Convert to fraction form
    2,078.24/3,117.92 = 691.80/x
  3. Step 3: Cross multiply
    2,078.24x = 3,117.92 × 691.80
  4. Step 4: Simplify right side
    2,078.24x = 2,156,977.06
  5. Step 5: Solve for x
    x = 2,156,977.06/2,078.24
  6. Step 6: Final answer
    x = 1,037.89

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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.