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Finding the Fourth Proportional to 3,270.27, 4,904.71 and 1,078.48

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Solution

The fourth proportional to 3,270.27, 4,904.71 and 1,078.48 is: 1,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.27 : 4,904.71 = 1,078.48 : x
  2. Step 2: Convert to fraction form
    3,270.27/4,904.71 = 1,078.48/x
  3. Step 3: Cross multiply
    3,270.27x = 4,904.71 × 1,078.48
  4. Step 4: Simplify right side
    3,270.27x = 5,289,626.25
  5. Step 5: Solve for x
    x = 5,289,626.25/3,270.27
  6. Step 6: Final answer
    x = 1,617.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.