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Finding the Fourth Proportional to 2,844.99, 4,266.72 and 1,201.23

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Solution

The fourth proportional to 2,844.99, 4,266.72 and 1,201.23 is: 1,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.99 : 4,266.72 = 1,201.23 : x
  2. Step 2: Convert to fraction form
    2,844.99/4,266.72 = 1,201.23/x
  3. Step 3: Cross multiply
    2,844.99x = 4,266.72 × 1,201.23
  4. Step 4: Simplify right side
    2,844.99x = 5,125,312.07
  5. Step 5: Solve for x
    x = 5,125,312.07/2,844.99
  6. Step 6: Final answer
    x = 1,801.52

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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.