Home / 2,770.38-3,822.16-1,776.20

Finding the Fourth Proportional to 2,770.38, 3,822.16 and 1,776.20

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Solution

The fourth proportional to 2,770.38, 3,822.16 and 1,776.20 is: 2,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.38 : 3,822.16 = 1,776.20 : x
  2. Step 2: Convert to fraction form
    2,770.38/3,822.16 = 1,776.20/x
  3. Step 3: Cross multiply
    2,770.38x = 3,822.16 × 1,776.20
  4. Step 4: Simplify right side
    2,770.38x = 6,788,920.59
  5. Step 5: Solve for x
    x = 6,788,920.59/2,770.38
  6. Step 6: Final answer
    x = 2,450.54

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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.