Home / 1,826.97-2,740.45-1,414.86

Finding the Fourth Proportional to 1,826.97, 2,740.45 and 1,414.86

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Solution

The fourth proportional to 1,826.97, 2,740.45 and 1,414.86 is: 2,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.97 : 2,740.45 = 1,414.86 : x
  2. Step 2: Convert to fraction form
    1,826.97/2,740.45 = 1,414.86/x
  3. Step 3: Cross multiply
    1,826.97x = 2,740.45 × 1,414.86
  4. Step 4: Simplify right side
    1,826.97x = 3,877,353.09
  5. Step 5: Solve for x
    x = 3,877,353.09/1,826.97
  6. Step 6: Final answer
    x = 2,122.29

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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.