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Finding the Fourth Proportional to 2,798.07, 4,197.72 and 850.43

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Solution

The fourth proportional to 2,798.07, 4,197.72 and 850.43 is: 1,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.07 : 4,197.72 = 850.43 : x
  2. Step 2: Convert to fraction form
    2,798.07/4,197.72 = 850.43/x
  3. Step 3: Cross multiply
    2,798.07x = 4,197.72 × 850.43
  4. Step 4: Simplify right side
    2,798.07x = 3,569,846.03
  5. Step 5: Solve for x
    x = 3,569,846.03/2,798.07
  6. Step 6: Final answer
    x = 1,275.82

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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.