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Finding the Fourth Proportional to 3,287.09, 4,930.94 and 1,206.59

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Solution

The fourth proportional to 3,287.09, 4,930.94 and 1,206.59 is: 1,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.09 : 4,930.94 = 1,206.59 : x
  2. Step 2: Convert to fraction form
    3,287.09/4,930.94 = 1,206.59/x
  3. Step 3: Cross multiply
    3,287.09x = 4,930.94 × 1,206.59
  4. Step 4: Simplify right side
    3,287.09x = 5,949,592.21
  5. Step 5: Solve for x
    x = 5,949,592.21/3,287.09
  6. Step 6: Final answer
    x = 1,809.99

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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.