Home / 1,614.21-2,422.17-834.54

Finding the Fourth Proportional to 1,614.21, 2,422.17 and 834.54

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Solution

The fourth proportional to 1,614.21, 2,422.17 and 834.54 is: 1,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.21 : 2,422.17 = 834.54 : x
  2. Step 2: Convert to fraction form
    1,614.21/2,422.17 = 834.54/x
  3. Step 3: Cross multiply
    1,614.21x = 2,422.17 × 834.54
  4. Step 4: Simplify right side
    1,614.21x = 2,021,397.75
  5. Step 5: Solve for x
    x = 2,021,397.75/1,614.21
  6. Step 6: Final answer
    x = 1,252.25

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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.