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Finding the Fourth Proportional to 2,700.82, 3,728.85 and 2,204.64

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Solution

The fourth proportional to 2,700.82, 3,728.85 and 2,204.64 is: 3,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.82 : 3,728.85 = 2,204.64 : x
  2. Step 2: Convert to fraction form
    2,700.82/3,728.85 = 2,204.64/x
  3. Step 3: Cross multiply
    2,700.82x = 3,728.85 × 2,204.64
  4. Step 4: Simplify right side
    2,700.82x = 8,220,762.54
  5. Step 5: Solve for x
    x = 8,220,762.54/2,700.82
  6. Step 6: Final answer
    x = 3,043.80

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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.