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Finding the Fourth Proportional to 2,793.58, 3,851.49 and 2,582.44

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Solution

The fourth proportional to 2,793.58, 3,851.49 and 2,582.44 is: 3,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.58 : 3,851.49 = 2,582.44 : x
  2. Step 2: Convert to fraction form
    2,793.58/3,851.49 = 2,582.44/x
  3. Step 3: Cross multiply
    2,793.58x = 3,851.49 × 2,582.44
  4. Step 4: Simplify right side
    2,793.58x = 9,946,241.84
  5. Step 5: Solve for x
    x = 9,946,241.84/2,793.58
  6. Step 6: Final answer
    x = 3,560.39

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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.