Home / 2,007-2,769.66-1,220.90

Finding the Fourth Proportional to 2,007, 2,769.66 and 1,220.90

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Solution

The fourth proportional to 2,007, 2,769.66 and 1,220.90 is: 1,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007 : 2,769.66 = 1,220.90 : x
  2. Step 2: Convert to fraction form
    2,007/2,769.66 = 1,220.90/x
  3. Step 3: Cross multiply
    2,007x = 2,769.66 × 1,220.90
  4. Step 4: Simplify right side
    2,007x = 3,381,464.05
  5. Step 5: Solve for x
    x = 3,381,464.05/2,007
  6. Step 6: Final answer
    x = 1,684.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.