Home / 1,422.42-2,132.24-729.40

Finding the Fourth Proportional to 1,422.42, 2,132.24 and 729.40

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Solution

The fourth proportional to 1,422.42, 2,132.24 and 729.40 is: 1,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.42 : 2,132.24 = 729.40 : x
  2. Step 2: Convert to fraction form
    1,422.42/2,132.24 = 729.40/x
  3. Step 3: Cross multiply
    1,422.42x = 2,132.24 × 729.40
  4. Step 4: Simplify right side
    1,422.42x = 1,555,255.86
  5. Step 5: Solve for x
    x = 1,555,255.86/1,422.42
  6. Step 6: Final answer
    x = 1,093.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.