Home / 2,098.24-3,149.68-1,124.08

Finding the Fourth Proportional to 2,098.24, 3,149.68 and 1,124.08

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Solution

The fourth proportional to 2,098.24, 3,149.68 and 1,124.08 is: 1,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.24 : 3,149.68 = 1,124.08 : x
  2. Step 2: Convert to fraction form
    2,098.24/3,149.68 = 1,124.08/x
  3. Step 3: Cross multiply
    2,098.24x = 3,149.68 × 1,124.08
  4. Step 4: Simplify right side
    2,098.24x = 3,540,492.29
  5. Step 5: Solve for x
    x = 3,540,492.29/2,098.24
  6. Step 6: Final answer
    x = 1,687.36

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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.