Home / 1,396.24-2,094.56-422.24

Finding the Fourth Proportional to 1,396.24, 2,094.56 and 422.24

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Solution

The fourth proportional to 1,396.24, 2,094.56 and 422.24 is: 633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.24 : 2,094.56 = 422.24 : x
  2. Step 2: Convert to fraction form
    1,396.24/2,094.56 = 422.24/x
  3. Step 3: Cross multiply
    1,396.24x = 2,094.56 × 422.24
  4. Step 4: Simplify right side
    1,396.24x = 884,407.01
  5. Step 5: Solve for x
    x = 884,407.01/1,396.24
  6. Step 6: Final answer
    x = 633.42

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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.