Home / 1,471.10-2,202.26-950.09

Finding the Fourth Proportional to 1,471.10, 2,202.26 and 950.09

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Solution

The fourth proportional to 1,471.10, 2,202.26 and 950.09 is: 1,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.10 : 2,202.26 = 950.09 : x
  2. Step 2: Convert to fraction form
    1,471.10/2,202.26 = 950.09/x
  3. Step 3: Cross multiply
    1,471.10x = 2,202.26 × 950.09
  4. Step 4: Simplify right side
    1,471.10x = 2,092,329.44
  5. Step 5: Solve for x
    x = 2,092,329.44/1,471.10
  6. Step 6: Final answer
    x = 1,422.29

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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.