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Finding the Fourth Proportional to 2,844.78, 4,266.36 and 1,200.39

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Solution

The fourth proportional to 2,844.78, 4,266.36 and 1,200.39 is: 1,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.78 : 4,266.36 = 1,200.39 : x
  2. Step 2: Convert to fraction form
    2,844.78/4,266.36 = 1,200.39/x
  3. Step 3: Cross multiply
    2,844.78x = 4,266.36 × 1,200.39
  4. Step 4: Simplify right side
    2,844.78x = 5,121,295.88
  5. Step 5: Solve for x
    x = 5,121,295.88/2,844.78
  6. Step 6: Final answer
    x = 1,800.24

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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.