Home / 2,149.08-3,222-1,107.96

Finding the Fourth Proportional to 2,149.08, 3,222 and 1,107.96

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Solution

The fourth proportional to 2,149.08, 3,222 and 1,107.96 is: 1,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.08 : 3,222 = 1,107.96 : x
  2. Step 2: Convert to fraction form
    2,149.08/3,222 = 1,107.96/x
  3. Step 3: Cross multiply
    2,149.08x = 3,222 × 1,107.96
  4. Step 4: Simplify right side
    2,149.08x = 3,569,847.12
  5. Step 5: Solve for x
    x = 3,569,847.12/2,149.08
  6. Step 6: Final answer
    x = 1,661.10

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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.