Home / 2,778.24-3,832.15-1,658.43

Finding the Fourth Proportional to 2,778.24, 3,832.15 and 1,658.43

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Solution

The fourth proportional to 2,778.24, 3,832.15 and 1,658.43 is: 2,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.24 : 3,832.15 = 1,658.43 : x
  2. Step 2: Convert to fraction form
    2,778.24/3,832.15 = 1,658.43/x
  3. Step 3: Cross multiply
    2,778.24x = 3,832.15 × 1,658.43
  4. Step 4: Simplify right side
    2,778.24x = 6,355,352.52
  5. Step 5: Solve for x
    x = 6,355,352.52/2,778.24
  6. Step 6: Final answer
    x = 2,287.55

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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.