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Finding the Fourth Proportional to 3,041.92, 4,563.17 and 850.64

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Solution

The fourth proportional to 3,041.92, 4,563.17 and 850.64 is: 1,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.92 : 4,563.17 = 850.64 : x
  2. Step 2: Convert to fraction form
    3,041.92/4,563.17 = 850.64/x
  3. Step 3: Cross multiply
    3,041.92x = 4,563.17 × 850.64
  4. Step 4: Simplify right side
    3,041.92x = 3,881,610.68
  5. Step 5: Solve for x
    x = 3,881,610.68/3,041.92
  6. Step 6: Final answer
    x = 1,276.04

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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.