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Finding the Fourth Proportional to 3,269.84, 4,905.06 and 1,078.04

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Solution

The fourth proportional to 3,269.84, 4,905.06 and 1,078.04 is: 1,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.84 : 4,905.06 = 1,078.04 : x
  2. Step 2: Convert to fraction form
    3,269.84/4,905.06 = 1,078.04/x
  3. Step 3: Cross multiply
    3,269.84x = 4,905.06 × 1,078.04
  4. Step 4: Simplify right side
    3,269.84x = 5,287,850.88
  5. Step 5: Solve for x
    x = 5,287,850.88/3,269.84
  6. Step 6: Final answer
    x = 1,617.16

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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.