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Finding the Fourth Proportional to 2,825.28, 4,238.28 and 1,180.80

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Solution

The fourth proportional to 2,825.28, 4,238.28 and 1,180.80 is: 1,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.28 : 4,238.28 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    2,825.28/4,238.28 = 1,180.80/x
  3. Step 3: Cross multiply
    2,825.28x = 4,238.28 × 1,180.80
  4. Step 4: Simplify right side
    2,825.28x = 5,004,561.02
  5. Step 5: Solve for x
    x = 5,004,561.02/2,825.28
  6. Step 6: Final answer
    x = 1,771.35

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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.