Home / 2,119.32-3,180.60-820.08

Finding the Fourth Proportional to 2,119.32, 3,180.60 and 820.08

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Solution

The fourth proportional to 2,119.32, 3,180.60 and 820.08 is: 1,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.32 : 3,180.60 = 820.08 : x
  2. Step 2: Convert to fraction form
    2,119.32/3,180.60 = 820.08/x
  3. Step 3: Cross multiply
    2,119.32x = 3,180.60 × 820.08
  4. Step 4: Simplify right side
    2,119.32x = 2,608,346.45
  5. Step 5: Solve for x
    x = 2,608,346.45/2,119.32
  6. Step 6: Final answer
    x = 1,230.75

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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.