Home / 2,820.44-4,229.61-971.04

Finding the Fourth Proportional to 2,820.44, 4,229.61 and 971.04

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Solution

The fourth proportional to 2,820.44, 4,229.61 and 971.04 is: 1,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.44 : 4,229.61 = 971.04 : x
  2. Step 2: Convert to fraction form
    2,820.44/4,229.61 = 971.04/x
  3. Step 3: Cross multiply
    2,820.44x = 4,229.61 × 971.04
  4. Step 4: Simplify right side
    2,820.44x = 4,107,120.49
  5. Step 5: Solve for x
    x = 4,107,120.49/2,820.44
  6. Step 6: Final answer
    x = 1,456.20

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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.