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Finding the Fourth Proportional to 2,768.83, 3,820.87 and 1,589.88

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Solution

The fourth proportional to 2,768.83, 3,820.87 and 1,589.88 is: 2,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.83 : 3,820.87 = 1,589.88 : x
  2. Step 2: Convert to fraction form
    2,768.83/3,820.87 = 1,589.88/x
  3. Step 3: Cross multiply
    2,768.83x = 3,820.87 × 1,589.88
  4. Step 4: Simplify right side
    2,768.83x = 6,074,724.80
  5. Step 5: Solve for x
    x = 6,074,724.80/2,768.83
  6. Step 6: Final answer
    x = 2,193.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.