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Finding the Fourth Proportional to 3,205.47, 4,803.33 and 2,165.43

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Solution

The fourth proportional to 3,205.47, 4,803.33 and 2,165.43 is: 3,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.47 : 4,803.33 = 2,165.43 : x
  2. Step 2: Convert to fraction form
    3,205.47/4,803.33 = 2,165.43/x
  3. Step 3: Cross multiply
    3,205.47x = 4,803.33 × 2,165.43
  4. Step 4: Simplify right side
    3,205.47x = 10,401,274.88
  5. Step 5: Solve for x
    x = 10,401,274.88/3,205.47
  6. Step 6: Final answer
    x = 3,244.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.