Home / 2,098.24-3,144.92-1,855.24

Finding the Fourth Proportional to 2,098.24, 3,144.92 and 1,855.24

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Solution

The fourth proportional to 2,098.24, 3,144.92 and 1,855.24 is: 2,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.24 : 3,144.92 = 1,855.24 : x
  2. Step 2: Convert to fraction form
    2,098.24/3,144.92 = 1,855.24/x
  3. Step 3: Cross multiply
    2,098.24x = 3,144.92 × 1,855.24
  4. Step 4: Simplify right side
    2,098.24x = 5,834,564.24
  5. Step 5: Solve for x
    x = 5,834,564.24/2,098.24
  6. Step 6: Final answer
    x = 2,780.70

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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.