Home / 2,103.24-3,155.99-1,282.08

Finding the Fourth Proportional to 2,103.24, 3,155.99 and 1,282.08

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Solution

The fourth proportional to 2,103.24, 3,155.99 and 1,282.08 is: 1,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.24 : 3,155.99 = 1,282.08 : x
  2. Step 2: Convert to fraction form
    2,103.24/3,155.99 = 1,282.08/x
  3. Step 3: Cross multiply
    2,103.24x = 3,155.99 × 1,282.08
  4. Step 4: Simplify right side
    2,103.24x = 4,046,231.66
  5. Step 5: Solve for x
    x = 4,046,231.66/2,103.24
  6. Step 6: Final answer
    x = 1,923.81

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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.