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Finding the Fourth Proportional to 2,250.41, 3,376.15 and 711.41

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Solution

The fourth proportional to 2,250.41, 3,376.15 and 711.41 is: 1,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.41 : 3,376.15 = 711.41 : x
  2. Step 2: Convert to fraction form
    2,250.41/3,376.15 = 711.41/x
  3. Step 3: Cross multiply
    2,250.41x = 3,376.15 × 711.41
  4. Step 4: Simplify right side
    2,250.41x = 2,401,826.87
  5. Step 5: Solve for x
    x = 2,401,826.87/2,250.41
  6. Step 6: Final answer
    x = 1,067.28

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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.