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Finding the Fourth Proportional to 2,803.05, 4,204.54 and 855.26

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Solution

The fourth proportional to 2,803.05, 4,204.54 and 855.26 is: 1,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.05 : 4,204.54 = 855.26 : x
  2. Step 2: Convert to fraction form
    2,803.05/4,204.54 = 855.26/x
  3. Step 3: Cross multiply
    2,803.05x = 4,204.54 × 855.26
  4. Step 4: Simplify right side
    2,803.05x = 3,595,970.69
  5. Step 5: Solve for x
    x = 3,595,970.69/2,803.05
  6. Step 6: Final answer
    x = 1,282.88

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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.