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Finding the Fourth Proportional to 3,478.48, 4,800.19 and 1,906.54

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Solution

The fourth proportional to 3,478.48, 4,800.19 and 1,906.54 is: 2,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.48 : 4,800.19 = 1,906.54 : x
  2. Step 2: Convert to fraction form
    3,478.48/4,800.19 = 1,906.54/x
  3. Step 3: Cross multiply
    3,478.48x = 4,800.19 × 1,906.54
  4. Step 4: Simplify right side
    3,478.48x = 9,151,754.24
  5. Step 5: Solve for x
    x = 9,151,754.24/3,478.48
  6. Step 6: Final answer
    x = 2,630.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.