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Finding the Fourth Proportional to 2,665.41, 3,991.28 and 1,971.03

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Solution

The fourth proportional to 2,665.41, 3,991.28 and 1,971.03 is: 2,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.41 : 3,991.28 = 1,971.03 : x
  2. Step 2: Convert to fraction form
    2,665.41/3,991.28 = 1,971.03/x
  3. Step 3: Cross multiply
    2,665.41x = 3,991.28 × 1,971.03
  4. Step 4: Simplify right side
    2,665.41x = 7,866,937.73
  5. Step 5: Solve for x
    x = 7,866,937.73/2,665.41
  6. Step 6: Final answer
    x = 2,951.50

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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.