Home / 2,778.27-3,834.87-1,600.14

Finding the Fourth Proportional to 2,778.27, 3,834.87 and 1,600.14

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Solution

The fourth proportional to 2,778.27, 3,834.87 and 1,600.14 is: 2,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.27 : 3,834.87 = 1,600.14 : x
  2. Step 2: Convert to fraction form
    2,778.27/3,834.87 = 1,600.14/x
  3. Step 3: Cross multiply
    2,778.27x = 3,834.87 × 1,600.14
  4. Step 4: Simplify right side
    2,778.27x = 6,136,328.88
  5. Step 5: Solve for x
    x = 6,136,328.88/2,778.27
  6. Step 6: Final answer
    x = 2,208.69

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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.