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Finding the Fourth Proportional to 2,189.94, 3,285.39 and 803.24

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Solution

The fourth proportional to 2,189.94, 3,285.39 and 803.24 is: 1,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.94 : 3,285.39 = 803.24 : x
  2. Step 2: Convert to fraction form
    2,189.94/3,285.39 = 803.24/x
  3. Step 3: Cross multiply
    2,189.94x = 3,285.39 × 803.24
  4. Step 4: Simplify right side
    2,189.94x = 2,638,958.03
  5. Step 5: Solve for x
    x = 2,638,958.03/2,189.94
  6. Step 6: Final answer
    x = 1,205.04

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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.