Home / 1,822.57-2,734.19-589.85

Finding the Fourth Proportional to 1,822.57, 2,734.19 and 589.85

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Solution

The fourth proportional to 1,822.57, 2,734.19 and 589.85 is: 884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.57 : 2,734.19 = 589.85 : x
  2. Step 2: Convert to fraction form
    1,822.57/2,734.19 = 589.85/x
  3. Step 3: Cross multiply
    1,822.57x = 2,734.19 × 589.85
  4. Step 4: Simplify right side
    1,822.57x = 1,612,759.02
  5. Step 5: Solve for x
    x = 1,612,759.02/1,822.57
  6. Step 6: Final answer
    x = 884.88

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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.