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Finding the Fourth Proportional to 2,700.27, 4,047.84 and 850.10

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Solution

The fourth proportional to 2,700.27, 4,047.84 and 850.10 is: 1,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.27 : 4,047.84 = 850.10 : x
  2. Step 2: Convert to fraction form
    2,700.27/4,047.84 = 850.10/x
  3. Step 3: Cross multiply
    2,700.27x = 4,047.84 × 850.10
  4. Step 4: Simplify right side
    2,700.27x = 3,441,048.54
  5. Step 5: Solve for x
    x = 3,441,048.54/2,700.27
  6. Step 6: Final answer
    x = 1,274.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.