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Finding the Fourth Proportional to 3,200.54, 4,800.54 and 1,120.38

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Solution

The fourth proportional to 3,200.54, 4,800.54 and 1,120.38 is: 1,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.54 : 4,800.54 = 1,120.38 : x
  2. Step 2: Convert to fraction form
    3,200.54/4,800.54 = 1,120.38/x
  3. Step 3: Cross multiply
    3,200.54x = 4,800.54 × 1,120.38
  4. Step 4: Simplify right side
    3,200.54x = 5,378,439.06
  5. Step 5: Solve for x
    x = 5,378,439.06/3,200.54
  6. Step 6: Final answer
    x = 1,680.48

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1.5x scale

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.