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Finding the Fourth Proportional to 3,269.28, 4,900.85 and 1,624.25

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Solution

The fourth proportional to 3,269.28, 4,900.85 and 1,624.25 is: 2,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.28 : 4,900.85 = 1,624.25 : x
  2. Step 2: Convert to fraction form
    3,269.28/4,900.85 = 1,624.25/x
  3. Step 3: Cross multiply
    3,269.28x = 4,900.85 × 1,624.25
  4. Step 4: Simplify right side
    3,269.28x = 7,960,172.99
  5. Step 5: Solve for x
    x = 7,960,172.99/3,269.28
  6. Step 6: Final answer
    x = 2,434.84

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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.