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Finding the Fourth Proportional to 3,290.40, 4,540.82 and 1,798.38

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Solution

The fourth proportional to 3,290.40, 4,540.82 and 1,798.38 is: 2,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.40 : 4,540.82 = 1,798.38 : x
  2. Step 2: Convert to fraction form
    3,290.40/4,540.82 = 1,798.38/x
  3. Step 3: Cross multiply
    3,290.40x = 4,540.82 × 1,798.38
  4. Step 4: Simplify right side
    3,290.40x = 8,166,110.88
  5. Step 5: Solve for x
    x = 8,166,110.88/3,290.40
  6. Step 6: Final answer
    x = 2,481.80

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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.