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Finding the Fourth Proportional to 3,269.89, 4,904.15 and 1,078.10

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Solution

The fourth proportional to 3,269.89, 4,904.15 and 1,078.10 is: 1,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.89 : 4,904.15 = 1,078.10 : x
  2. Step 2: Convert to fraction form
    3,269.89/4,904.15 = 1,078.10/x
  3. Step 3: Cross multiply
    3,269.89x = 4,904.15 × 1,078.10
  4. Step 4: Simplify right side
    3,269.89x = 5,287,170.98
  5. Step 5: Solve for x
    x = 5,287,170.98/3,269.89
  6. Step 6: Final answer
    x = 1,616.93

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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.