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Finding the Fourth Proportional to 2,559.80, 3,838.44 and 828.20

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Solution

The fourth proportional to 2,559.80, 3,838.44 and 828.20 is: 1,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.80 : 3,838.44 = 828.20 : x
  2. Step 2: Convert to fraction form
    2,559.80/3,838.44 = 828.20/x
  3. Step 3: Cross multiply
    2,559.80x = 3,838.44 × 828.20
  4. Step 4: Simplify right side
    2,559.80x = 3,178,996.01
  5. Step 5: Solve for x
    x = 3,178,996.01/2,559.80
  6. Step 6: Final answer
    x = 1,241.89

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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.