Home / 1,414.10-2,117.39-796.07

Finding the Fourth Proportional to 1,414.10, 2,117.39 and 796.07

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Solution

The fourth proportional to 1,414.10, 2,117.39 and 796.07 is: 1,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.10 : 2,117.39 = 796.07 : x
  2. Step 2: Convert to fraction form
    1,414.10/2,117.39 = 796.07/x
  3. Step 3: Cross multiply
    1,414.10x = 2,117.39 × 796.07
  4. Step 4: Simplify right side
    1,414.10x = 1,685,576.09
  5. Step 5: Solve for x
    x = 1,685,576.09/1,414.10
  6. Step 6: Final answer
    x = 1,191.98

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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.