Home / 2,124.60-3,185.82-826.44

Finding the Fourth Proportional to 2,124.60, 3,185.82 and 826.44

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Solution

The fourth proportional to 2,124.60, 3,185.82 and 826.44 is: 1,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.60 : 3,185.82 = 826.44 : x
  2. Step 2: Convert to fraction form
    2,124.60/3,185.82 = 826.44/x
  3. Step 3: Cross multiply
    2,124.60x = 3,185.82 × 826.44
  4. Step 4: Simplify right side
    2,124.60x = 2,632,889.08
  5. Step 5: Solve for x
    x = 2,632,889.08/2,124.60
  6. Step 6: Final answer
    x = 1,239.24

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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.