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Finding the Fourth Proportional to 2,738.80, 4,108.20 and 2,258.80

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Solution

The fourth proportional to 2,738.80, 4,108.20 and 2,258.80 is: 3,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.80 : 4,108.20 = 2,258.80 : x
  2. Step 2: Convert to fraction form
    2,738.80/4,108.20 = 2,258.80/x
  3. Step 3: Cross multiply
    2,738.80x = 4,108.20 × 2,258.80
  4. Step 4: Simplify right side
    2,738.80x = 9,279,602.16
  5. Step 5: Solve for x
    x = 9,279,602.16/2,738.80
  6. Step 6: Final answer
    x = 3,388.20

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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.