Home / 2,049.98-3,076.26-1,076.78

Finding the Fourth Proportional to 2,049.98, 3,076.26 and 1,076.78

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Solution

The fourth proportional to 2,049.98, 3,076.26 and 1,076.78 is: 1,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.98 : 3,076.26 = 1,076.78 : x
  2. Step 2: Convert to fraction form
    2,049.98/3,076.26 = 1,076.78/x
  3. Step 3: Cross multiply
    2,049.98x = 3,076.26 × 1,076.78
  4. Step 4: Simplify right side
    2,049.98x = 3,312,455.24
  5. Step 5: Solve for x
    x = 3,312,455.24/2,049.98
  6. Step 6: Final answer
    x = 1,615.85

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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.