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Finding the Fourth Proportional to 2,250.91, 3,374.34 and 952.48

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Solution

The fourth proportional to 2,250.91, 3,374.34 and 952.48 is: 1,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.91 : 3,374.34 = 952.48 : x
  2. Step 2: Convert to fraction form
    2,250.91/3,374.34 = 952.48/x
  3. Step 3: Cross multiply
    2,250.91x = 3,374.34 × 952.48
  4. Step 4: Simplify right side
    2,250.91x = 3,213,991.36
  5. Step 5: Solve for x
    x = 3,213,991.36/2,250.91
  6. Step 6: Final answer
    x = 1,427.86

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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.