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Finding the Fourth Proportional to 2,708.54, 3,734.61 and 2,204.92

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Solution

The fourth proportional to 2,708.54, 3,734.61 and 2,204.92 is: 3,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.54 : 3,734.61 = 2,204.92 : x
  2. Step 2: Convert to fraction form
    2,708.54/3,734.61 = 2,204.92/x
  3. Step 3: Cross multiply
    2,708.54x = 3,734.61 × 2,204.92
  4. Step 4: Simplify right side
    2,708.54x = 8,234,512.68
  5. Step 5: Solve for x
    x = 8,234,512.68/2,708.54
  6. Step 6: Final answer
    x = 3,040.20

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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.