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Finding the Fourth Proportional to 2,809, 4,213.49 and 729.00

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Solution

The fourth proportional to 2,809, 4,213.49 and 729.00 is: 1,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809 : 4,213.49 = 729.00 : x
  2. Step 2: Convert to fraction form
    2,809/4,213.49 = 729.00/x
  3. Step 3: Cross multiply
    2,809x = 4,213.49 × 729.00
  4. Step 4: Simplify right side
    2,809x = 3,071,641.10
  5. Step 5: Solve for x
    x = 3,071,641.10/2,809
  6. Step 6: Final answer
    x = 1,093.50

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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.