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Finding the Fourth Proportional to 2,798.64, 4,197.24 and 850.80

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Solution

The fourth proportional to 2,798.64, 4,197.24 and 850.80 is: 1,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.64 : 4,197.24 = 850.80 : x
  2. Step 2: Convert to fraction form
    2,798.64/4,197.24 = 850.80/x
  3. Step 3: Cross multiply
    2,798.64x = 4,197.24 × 850.80
  4. Step 4: Simplify right side
    2,798.64x = 3,571,011.79
  5. Step 5: Solve for x
    x = 3,571,011.79/2,798.64
  6. Step 6: Final answer
    x = 1,275.98

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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.