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Finding the Fourth Proportional to 2,191.14, 3,285.48 and 729.52

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Solution

The fourth proportional to 2,191.14, 3,285.48 and 729.52 is: 1,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.14 : 3,285.48 = 729.52 : x
  2. Step 2: Convert to fraction form
    2,191.14/3,285.48 = 729.52/x
  3. Step 3: Cross multiply
    2,191.14x = 3,285.48 × 729.52
  4. Step 4: Simplify right side
    2,191.14x = 2,396,823.37
  5. Step 5: Solve for x
    x = 2,396,823.37/2,191.14
  6. Step 6: Final answer
    x = 1,093.87

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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.