Home / 2,563.82-3,838.34-2,296.70

Finding the Fourth Proportional to 2,563.82, 3,838.34 and 2,296.70

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Solution

The fourth proportional to 2,563.82, 3,838.34 and 2,296.70 is: 3,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.82 : 3,838.34 = 2,296.70 : x
  2. Step 2: Convert to fraction form
    2,563.82/3,838.34 = 2,296.70/x
  3. Step 3: Cross multiply
    2,563.82x = 3,838.34 × 2,296.70
  4. Step 4: Simplify right side
    2,563.82x = 8,815,502.03
  5. Step 5: Solve for x
    x = 8,815,502.03/2,563.82
  6. Step 6: Final answer
    x = 3,438.43

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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.