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Finding the Fourth Proportional to 2,793.84, 4,186.80 and 2,057.64

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Solution

The fourth proportional to 2,793.84, 4,186.80 and 2,057.64 is: 3,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.84 : 4,186.80 = 2,057.64 : x
  2. Step 2: Convert to fraction form
    2,793.84/4,186.80 = 2,057.64/x
  3. Step 3: Cross multiply
    2,793.84x = 4,186.80 × 2,057.64
  4. Step 4: Simplify right side
    2,793.84x = 8,614,927.15
  5. Step 5: Solve for x
    x = 8,614,927.15/2,793.84
  6. Step 6: Final answer
    x = 3,083.54

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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.