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Finding the Fourth Proportional to 2,331.99, 3,218.13 and 1,423.44

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Solution

The fourth proportional to 2,331.99, 3,218.13 and 1,423.44 is: 1,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.99 : 3,218.13 = 1,423.44 : x
  2. Step 2: Convert to fraction form
    2,331.99/3,218.13 = 1,423.44/x
  3. Step 3: Cross multiply
    2,331.99x = 3,218.13 × 1,423.44
  4. Step 4: Simplify right side
    2,331.99x = 4,580,814.97
  5. Step 5: Solve for x
    x = 4,580,814.97/2,331.99
  6. Step 6: Final answer
    x = 1,964.34

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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.