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Finding the Fourth Proportional to 2,844.40, 4,266.87 and 1,201.09

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Solution

The fourth proportional to 2,844.40, 4,266.87 and 1,201.09 is: 1,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.40 : 4,266.87 = 1,201.09 : x
  2. Step 2: Convert to fraction form
    2,844.40/4,266.87 = 1,201.09/x
  3. Step 3: Cross multiply
    2,844.40x = 4,266.87 × 1,201.09
  4. Step 4: Simplify right side
    2,844.40x = 5,124,894.89
  5. Step 5: Solve for x
    x = 5,124,894.89/2,844.40
  6. Step 6: Final answer
    x = 1,801.75

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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.