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Finding the Fourth Proportional to 2,797.94, 4,197.51 and 850.29

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Solution

The fourth proportional to 2,797.94, 4,197.51 and 850.29 is: 1,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.94 : 4,197.51 = 850.29 : x
  2. Step 2: Convert to fraction form
    2,797.94/4,197.51 = 850.29/x
  3. Step 3: Cross multiply
    2,797.94x = 4,197.51 × 850.29
  4. Step 4: Simplify right side
    2,797.94x = 3,569,097.59
  5. Step 5: Solve for x
    x = 3,569,097.59/2,797.94
  6. Step 6: Final answer
    x = 1,275.62

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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.