Home / 2,276.91-3,416.78-2,057.80

Finding the Fourth Proportional to 2,276.91, 3,416.78 and 2,057.80

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Solution

The fourth proportional to 2,276.91, 3,416.78 and 2,057.80 is: 3,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.91 : 3,416.78 = 2,057.80 : x
  2. Step 2: Convert to fraction form
    2,276.91/3,416.78 = 2,057.80/x
  3. Step 3: Cross multiply
    2,276.91x = 3,416.78 × 2,057.80
  4. Step 4: Simplify right side
    2,276.91x = 7,031,049.88
  5. Step 5: Solve for x
    x = 7,031,049.88/2,276.91
  6. Step 6: Final answer
    x = 3,087.98

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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.