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Finding the Fourth Proportional to 3,020.76, 4,167.41 and 1,841.40

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Solution

The fourth proportional to 3,020.76, 4,167.41 and 1,841.40 is: 2,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.76 : 4,167.41 = 1,841.40 : x
  2. Step 2: Convert to fraction form
    3,020.76/4,167.41 = 1,841.40/x
  3. Step 3: Cross multiply
    3,020.76x = 4,167.41 × 1,841.40
  4. Step 4: Simplify right side
    3,020.76x = 7,673,859.57
  5. Step 5: Solve for x
    x = 7,673,859.57/3,020.76
  6. Step 6: Final answer
    x = 2,540.37

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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.