Home / 2,778.28-4,166.40-829.82

Finding the Fourth Proportional to 2,778.28, 4,166.40 and 829.82

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Solution

The fourth proportional to 2,778.28, 4,166.40 and 829.82 is: 1,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.28 : 4,166.40 = 829.82 : x
  2. Step 2: Convert to fraction form
    2,778.28/4,166.40 = 829.82/x
  3. Step 3: Cross multiply
    2,778.28x = 4,166.40 × 829.82
  4. Step 4: Simplify right side
    2,778.28x = 3,457,362.05
  5. Step 5: Solve for x
    x = 3,457,362.05/2,778.28
  6. Step 6: Final answer
    x = 1,244.43

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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.