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Finding the Fourth Proportional to 3,269.40, 4,904.64 and 1,078.64

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Solution

The fourth proportional to 3,269.40, 4,904.64 and 1,078.64 is: 1,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.40 : 4,904.64 = 1,078.64 : x
  2. Step 2: Convert to fraction form
    3,269.40/4,904.64 = 1,078.64/x
  3. Step 3: Cross multiply
    3,269.40x = 4,904.64 × 1,078.64
  4. Step 4: Simplify right side
    3,269.40x = 5,290,340.89
  5. Step 5: Solve for x
    x = 5,290,340.89/3,269.40
  6. Step 6: Final answer
    x = 1,618.14

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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.