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Finding the Fourth Proportional to 2,162.39, 2,980.99 and 1,540.31

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Solution

The fourth proportional to 2,162.39, 2,980.99 and 1,540.31 is: 2,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.39 : 2,980.99 = 1,540.31 : x
  2. Step 2: Convert to fraction form
    2,162.39/2,980.99 = 1,540.31/x
  3. Step 3: Cross multiply
    2,162.39x = 2,980.99 × 1,540.31
  4. Step 4: Simplify right side
    2,162.39x = 4,591,658.08
  5. Step 5: Solve for x
    x = 4,591,658.08/2,162.39
  6. Step 6: Final answer
    x = 2,123.42

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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.